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156000460 = 22571129209
BaseRepresentation
bin10010100110001…
…10000011001100
3101212112122101211
421103012003030
5304414003320
623251344204
73602660560
oct1123060314
9355478354
10156000460
1180070500
12442b2064
1326420185
1416a0b6a0
15da6755a
hex94c60cc

156000460 has 72 divisors (see below), whose sum is σ = 411576480. Its totient is φ = 48618240.

The previous prime is 156000451. The next prime is 156000479. The reversal of 156000460 is 64000651.

It is a super-2 number, since 2×1560004602 = 48672287040423200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12336 + ... + 21544.

It is an arithmetic number, because the mean of its divisors is an integer number (5716340).

Almost surely, 2156000460 is an apocalyptic number.

156000460 is a gapful number since it is divisible by the number (10) 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 156000460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205788240).

156000460 is an abundant number, since it is smaller than the sum of its proper divisors (255576020).

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

156000460 is a wasteful number, since it uses less digits than its factorization.

156000460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9247 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 156000460 is about 12490.0144115209. The cubic root of 156000460 is about 538.3217903274.

The spelling of 156000460 in words is "one hundred fifty-six million, four hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 9209 16940 18418 36836 46045 64463 92090 101299 128926 184180 202598 257852 322315 405196 506495 644630 709093 1012990 1114289 1289260 1418186 2025980 2228578 2836372 3545465 4457156 5571445 7090930 7800023 11142890 14181860 15600046 22285780 31200092 39000115 78000230 156000460