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156468 = 223131759
BaseRepresentation
bin100110001100110100
321221122010
4212030310
520001333
63204220
71221114
oct461464
9257563
10156468
11a7614
1276670
13562b0
1441044
1531563
hex26334

156468 has 48 divisors (see below), whose sum is σ = 423360. Its totient is φ = 44544.

The previous prime is 156467. The next prime is 156487. The reversal of 156468 is 864651.

Its product of digits (5760) is a multiple of the sum of its prime factors (96).

156468 is a modest number, since divided by 468 gives 156 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156467) 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, 2623 + ... + 2681.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2156468 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 156468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

156468 is an abundant number, since it is smaller than the sum of its proper divisors (266892).

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

156468 is a wasteful number, since it uses less digits than its factorization.

156468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 94 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 156468 is about 395.5603620182. The cubic root of 156468 is about 53.8859045044.

It can be divided in two parts, 15 and 6468, that multiplied together give a triangular number (97020 = T440).

The spelling of 156468 in words is "one hundred fifty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 59 68 78 102 118 156 177 204 221 236 354 442 663 708 767 884 1003 1326 1534 2006 2301 2652 3009 3068 4012 4602 6018 9204 12036 13039 26078 39117 52156 78234 156468