Search a number
-
+
2150040 = 2335192341
BaseRepresentation
bin1000001100111010011000
311001020022010
420030322120
51022300130
6114025520
724163224
oct10147230
94036263
102150040
1112393a2
128782a0
135a3819
143dd784
152c70b0
hex20ce98

2150040 has 128 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 506880.

The previous prime is 2150039. The next prime is 2150101. The reversal of 2150040 is 400512.

2150040 = T133 + T134 + ... + T247.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2149998 and 2150025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52420 + ... + 52460.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

22150040 is an apocalyptic number.

2150040 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 2150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2150040 is an abundant number, since it is smaller than the sum of its proper divisors (5107560).

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

2150040 is a wasteful number, since it uses less digits than its factorization.

2150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2150040 is about 1466.3014696849. The cubic root of 2150040 is about 129.0670884735.

Adding to 2150040 its reverse (400512), we get a palindrome (2550552).

The spelling of 2150040 in words is "two million, one hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 41 46 57 60 69 76 82 92 95 114 115 120 123 138 152 164 184 190 205 228 230 246 276 285 328 345 380 410 437 456 460 492 552 570 615 690 760 779 820 874 920 943 984 1140 1230 1311 1380 1558 1640 1748 1886 2185 2280 2337 2460 2622 2760 2829 3116 3496 3772 3895 4370 4674 4715 4920 5244 5658 6232 6555 7544 7790 8740 9348 9430 10488 11316 11685 13110 14145 15580 17480 17917 18696 18860 22632 23370 26220 28290 31160 35834 37720 46740 52440 53751 56580 71668 89585 93480 107502 113160 143336 179170 215004 268755 358340 430008 537510 716680 1075020 2150040