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156368 = 2429337
BaseRepresentation
bin100110001011010000
321221111102
4212023100
520000433
63203532
71220612
oct461320
9257442
10156368
11a7533
12765a8
1356234
1440db2
15314e8
hex262d0

156368 has 20 divisors (see below), whose sum is σ = 314340. Its totient is φ = 75264.

The previous prime is 156361. The next prime is 156371. The reversal of 156368 is 863651.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 94864 = 248^2 + 308^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 156368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156361) by changing a digit.

156368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 296 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (15717).

2156368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157170).

156368 is an abundant number, since it is smaller than the sum of its proper divisors (157972).

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

156368 is a wasteful number, since it uses less digits than its factorization.

156368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 156368 is about 395.4339388570. The cubic root of 156368 is about 53.8744224147.

The spelling of 156368 in words is "one hundred fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 337 464 674 1348 2696 5392 9773 19546 39092 78184 156368