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156193960 = 235131717669
BaseRepresentation
bin10010100111101…
…01010010101000
3101212220110211111
421103311102220
5304441201320
623255440104
73604424656
oct1123652250
9355813744
10156193960
118019291a
1244386034
132648a280
1416a5bdd6
15daa4a5a
hex94f54a8

156193960 has 64 divisors (see below), whose sum is σ = 400755600. Its totient is φ = 54276096.

The previous prime is 156193957. The next prime is 156193963. The reversal of 156193960 is 69391651.

It is an interprime number because it is at equal distance from previous prime (156193957) and next prime (156193963).

It can be written as a sum of positive squares in 8 ways, for example, as 36554116 + 119639844 = 6046^2 + 10938^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (156193963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6 + ... + 17674.

Almost surely, 2156193960 is an apocalyptic number.

156193960 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 156193960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200377800).

156193960 is an abundant number, since it is smaller than the sum of its proper divisors (244561640).

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

156193960 is a wasteful number, since it uses less digits than its factorization.

156193960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17710 (or 17706 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 156193960 is about 12497.7581989731. The cubic root of 156193960 is about 538.5442730643.

The spelling of 156193960 in words is "one hundred fifty-six million, one hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 17669 35338 70676 88345 141352 176690 229697 300373 353380 459394 600746 706760 918788 1148485 1201492 1501865 1837576 2296970 2402984 3003730 3904849 4593940 6007460 7809698 9187880 12014920 15619396 19524245 31238792 39048490 78096980 156193960