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30929120 = 2551783137
BaseRepresentation
bin111010111111…
…1000011100000
32011012100202222
41311333003200
530404212440
63022530212
7523615235
oct165770340
964170688
1030929120
1116505562
12a436968
13653bb71
14417178c
152aae2b5
hex1d7f0e0

30929120 has 96 divisors (see below), whose sum is σ = 78871968. Its totient is φ = 11419648.

The previous prime is 30929111. The next prime is 30929123. The reversal of 30929120 is 2192903.

It is a super-2 number, since 2×309291202 = 1913220927948800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30929120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30929123) 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, 225692 + ... + 225828.

It is an arithmetic number, because the mean of its divisors is an integer number (821583).

Almost surely, 230929120 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 30929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39435984).

30929120 is an abundant number, since it is smaller than the sum of its proper divisors (47942848).

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

30929120 is a wasteful number, since it uses less digits than its factorization.

30929120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 30929120 is about 5561.3955083234. The cubic root of 30929120 is about 313.8984620372.

The spelling of 30929120 in words is "thirty million, nine hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 83 85 136 137 160 166 170 272 274 332 340 415 544 548 664 680 685 830 1096 1328 1360 1370 1411 1660 2192 2329 2656 2720 2740 2822 3320 4384 4658 5480 5644 6640 7055 9316 10960 11288 11371 11645 13280 14110 18632 21920 22576 22742 23290 28220 37264 45152 45484 46580 56440 56855 74528 90968 93160 112880 113710 181936 186320 193307 225760 227420 363872 372640 386614 454840 773228 909680 966535 1546456 1819360 1933070 3092912 3866140 6185824 7732280 15464560 30929120