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2140233040 = 2451113917497
BaseRepresentation
bin111111110010001…
…0101110101010000
312112011020002210101
41333210111311100
513340344424130
6552212342144
7104015452321
oct17744256520
95464202711
102140233040
119a9118840
124b8914954
132815367aa
14164360448
15c7d631ca
hex7f915d50

2140233040 has 80 divisors (see below), whose sum is σ = 5467775040. Its totient is φ = 772623360.

The previous prime is 2140233013. The next prime is 2140233113. The reversal of 2140233040 is 403320412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2140232999 and 2140233017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113572 + ... + 131068.

It is an arithmetic number, because the mean of its divisors is an integer number (68347188).

Almost surely, 22140233040 is an apocalyptic number.

2140233040 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 2140233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733887520).

2140233040 is an abundant number, since it is smaller than the sum of its proper divisors (3327542000).

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

2140233040 is a wasteful number, since it uses less digits than its factorization.

2140233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17660 (or 17654 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2140233040 is about 46262.6527557597. The cubic root of 2140233040 is about 1288.7055179522.

Adding to 2140233040 its reverse (403320412), we get a palindrome (2543553452).

The spelling of 2140233040 in words is "two billion, one hundred forty million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 139 176 220 278 440 556 695 880 1112 1390 1529 2224 2780 3058 5560 6116 7645 11120 12232 15290 17497 24464 30580 34994 61160 69988 87485 122320 139976 174970 192467 279952 349940 384934 699880 769868 962335 1399760 1539736 1924670 2432083 3079472 3849340 4864166 7698680 9728332 12160415 15397360 19456664 24320830 26752913 38913328 48641660 53505826 97283320 107011652 133764565 194566640 214023304 267529130 428046608 535058260 1070116520 2140233040