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30672 = 243371
BaseRepresentation
bin111011111010000
31120002000
413133100
51440142
6354000
7155265
oct73720
946060
1030672
1121054
1215900
1310c65
14b26c
15914c
hex77d0

30672 has 40 divisors (see below), whose sum is σ = 89280. Its totient is φ = 10080.

The previous prime is 30671. The next prime is 30677. The reversal of 30672 is 27603.

It can be divided in two parts, 306 and 72, that added together give a triangular number (378 = T27).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

230672 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 30672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640).

30672 is an abundant number, since it is smaller than the sum of its proper divisors (58608).

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

30672 is a wasteful number, since it uses less digits than its factorization.

30672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 30672 is about 175.1342342319. The cubic root of 30672 is about 31.3026206777.

The spelling of 30672 in words is "thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1136 1278 1704 1917 2556 3408 3834 5112 7668 10224 15336 30672