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156040128 = 2633731237
BaseRepresentation
bin10010100110011…
…11101111000000
3101212121122211000
421103033233000
5304421241003
623252252000
73603214326
oct1123175700
9355548730
10156040128
1180098292
1244311000
132643524a
1416a1bd16
15da741a3
hex94cfbc0

156040128 has 112 divisors (see below), whose sum is σ = 465388960. Its totient is φ = 51259392.

The previous prime is 156040121. The next prime is 156040151. The reversal of 156040128 is 821040651.

156040128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156040121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125526 + ... + 126762.

Almost surely, 2156040128 is an apocalyptic number.

156040128 is a gapful number since it is divisible by the number (18) 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 156040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232694480).

156040128 is an abundant number, since it is smaller than the sum of its proper divisors (309348832).

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

156040128 is a wasteful number, since it uses less digits than its factorization.

156040128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 156040128 is about 12491.6022991448. The cubic root of 156040128 is about 538.3674148489.

Adding to 156040128 its reverse (821040651), we get a palindrome (977080779).

The spelling of 156040128 in words is "one hundred fifty-six million, forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 144 146 192 216 219 288 292 432 438 576 584 657 864 876 1168 1237 1314 1728 1752 1971 2336 2474 2628 3504 3711 3942 4672 4948 5256 7008 7422 7884 9896 10512 11133 14016 14844 15768 19792 21024 22266 29688 31536 33399 39584 42048 44532 59376 63072 66798 79168 89064 90301 118752 126144 133596 178128 180602 237504 267192 270903 356256 361204 534384 541806 712512 722408 812709 1068768 1083612 1444816 1625418 2137536 2167224 2438127 2889632 3250836 4334448 4876254 5779264 6501672 8668896 9752508 13003344 17337792 19505016 26006688 39010032 52013376 78020064 156040128