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60672 = 28379
BaseRepresentation
bin1110110100000000
310002020010
432310000
53420142
61144520
7341613
oct166400
9102203
1060672
1141647
122b140
1321801
141817a
1512e9c
hexed00

60672 has 36 divisors (see below), whose sum is σ = 163520. Its totient is φ = 19968.

The previous prime is 60661. The next prime is 60679. The reversal of 60672 is 27606.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60679) 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, 729 + ... + 807.

260672 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 60672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81760).

60672 is an abundant number, since it is smaller than the sum of its proper divisors (102848).

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

60672 is an equidigital number, since it uses as much as digits as its factorization.

60672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 60672 is about 246.3168690935. The cubic root of 60672 is about 39.2942891947.

The spelling of 60672 in words is "sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1896 2528 3792 5056 7584 10112 15168 20224 30336 60672