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156352040 = 235132101229
BaseRepresentation
bin10010101000110…
…11111000101000
3101220012111200022
421110123320220
5310011231130
623303100012
73605653565
oct1124337050
9356174608
10156352040
1180290669
1244441608
1326514200
1416a9d86c
15dad67e5
hex951be28

156352040 has 96 divisors (see below), whose sum is σ = 386386200. Its totient is φ = 56908800.

The previous prime is 156352019. The next prime is 156352081. The reversal of 156352040 is 40253651.

156352040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 33895684 + 122456356 = 5822^2 + 11066^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682646 + ... + 682874.

Almost surely, 2156352040 is an apocalyptic number.

156352040 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 156352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193193100).

156352040 is an abundant number, since it is smaller than the sum of its proper divisors (230034160).

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

156352040 is a wasteful number, since it uses less digits than its factorization.

156352040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 156352040 is about 12504.0809338392. The cubic root of 156352040 is about 538.7258942026.

The spelling of 156352040 in words is "one hundred fifty-six million, three hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 169 202 229 260 338 404 458 505 520 676 808 845 916 1010 1145 1313 1352 1690 1832 2020 2290 2626 2977 3380 4040 4580 5252 5954 6565 6760 9160 10504 11908 13130 14885 17069 23129 23816 26260 29770 34138 38701 46258 52520 59540 68276 77402 85345 92516 115645 119080 136552 154804 170690 185032 193505 231290 300677 309608 341380 387010 462580 601354 682760 774020 925160 1202708 1503385 1548040 2405416 3006770 3908801 6013540 7817602 12027080 15635204 19544005 31270408 39088010 78176020 156352040