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152672 = 2513367
BaseRepresentation
bin100101010001100000
321202102112
4211101200
514341142
63134452
71204052
oct452140
9252375
10152672
11a4783
1274428
1354650
143d8d2
1530382
hex25460

152672 has 24 divisors (see below), whose sum is σ = 324576. Its totient is φ = 70272.

The previous prime is 152671. The next prime is 152681. The reversal of 152672 is 276251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 233 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (13524).

2152672 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 152672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162288).

152672 is an abundant number, since it is smaller than the sum of its proper divisors (171904).

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

152672 is a wasteful number, since it uses less digits than its factorization.

152672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 152672 is about 390.7326451680. The cubic root of 152672 is about 53.4465649840.

The spelling of 152672 in words is "one hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 367 416 734 1468 2936 4771 5872 9542 11744 19084 38168 76336 152672