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30430960 = 245731109
BaseRepresentation
bin111010000010…
…1011011110000
32010021001102121
41310011123300
530242242320
63004124024
7516442000
oct164053360
963231377
1030430960
11161a525a
12a236614
1363c61b1
144082000
152a118aa
hex1d056f0

30430960 has 80 divisors (see below), whose sum is σ = 82584000. Its totient is φ = 10424064.

The previous prime is 30430927. The next prime is 30430973. The reversal of 30430960 is 6903403.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26886 + ... + 27994.

It is an arithmetic number, because the mean of its divisors is an integer number (1032300).

Almost surely, 230430960 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 30430960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292000).

30430960 is an abundant number, since it is smaller than the sum of its proper divisors (52153040).

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

30430960 is a wasteful number, since it uses less digits than its factorization.

30430960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 30430960 is about 5516.4263794598. The cubic root of 30430960 is about 312.2040633038.

The spelling of 30430960 in words is "thirty million, four hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1109 1372 1715 1960 2218 2744 3430 3920 4436 5488 5545 6860 7763 8872 11090 13720 15526 17744 22180 27440 31052 38815 44360 54341 62104 77630 88720 108682 124208 155260 217364 271705 310520 380387 434728 543410 621040 760774 869456 1086820 1521548 1901935 2173640 3043096 3803870 4347280 6086192 7607740 15215480 30430960