Search a number
-
+
2593330140 = 2235192671787
BaseRepresentation
bin1001101010010011…
…0001001111011100
320200201210211011110
42122210301033130
520302343031030
61105200022020
7121156641162
oct23244611734
96621724143
102593330140
11111095a355
12604601910
1332437909b
141a85c7232
15102a141b0
hex9a9313dc

2593330140 has 144 divisors (see below), whose sum is σ = 7782348672. Its totient is φ = 645017472.

The previous prime is 2593330123. The next prime is 2593330147. The reversal of 2593330140 is 410333952.

2593330140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25933301402 = 13450722430064839200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2593330098 and 2593330107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2593330147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1450327 + ... + 1452113.

It is an arithmetic number, because the mean of its divisors is an integer number (54044088).

Almost surely, 22593330140 is an apocalyptic number.

2593330140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2593330140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891174336).

2593330140 is an abundant number, since it is smaller than the sum of its proper divisors (5189018532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2593330140 is a wasteful number, since it uses less digits than its factorization.

2593330140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 2593330140 is about 50924.7497784722. The cubic root of 2593330140 is about 1373.8920246782.

The spelling of 2593330140 in words is "two billion, five hundred ninety-three million, three hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 114 134 190 201 228 268 285 335 361 380 402 570 670 722 804 1005 1083 1140 1273 1340 1444 1787 1805 2010 2166 2546 3574 3610 3819 4020 4332 5092 5361 5415 6365 7148 7220 7638 8935 10722 10830 12730 15276 17870 19095 21444 21660 24187 25460 26805 33953 35740 38190 48374 53610 67906 72561 76380 96748 101859 107220 119729 120935 135812 145122 169765 203718 239458 241870 290244 339530 359187 362805 407436 478916 483740 509295 598645 645107 679060 718374 725610 1018590 1197290 1290214 1436748 1451220 1795935 1935321 2037180 2274851 2394580 2580428 3225535 3591870 3870642 4549702 6451070 6824553 7183740 7741284 9099404 9676605 11374255 12902140 13649106 19353210 22748510 27298212 34122765 38706420 43222169 45497020 68245530 86444338 129666507 136491060 172888676 216110845 259333014 432221690 518666028 648332535 864443380 1296665070 2593330140