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30104256 = 2637131723
BaseRepresentation
bin111001011010…
…1101011000000
32002122110021110
41302311223000
530201314011
62553123320
7513611340
oct162655300
962573243
1030104256
1115aa1856
12a0b9540
136310590
143dd8d20
152999ba6
hex1cb5ac0

30104256 has 112 divisors (see below), whose sum is σ = 98088704. Its totient is φ = 7934976.

The previous prime is 30104231. The next prime is 30104281. The reversal of 30104256 is 65240103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30104231) and next prime (30104281).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 16611 + ... + 18333.

It is an arithmetic number, because the mean of its divisors is an integer number (875792).

Almost surely, 230104256 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 30104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49044352).

30104256 is an abundant number, since it is smaller than the sum of its proper divisors (67984448).

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

30104256 is a wasteful number, since it uses less digits than its factorization.

30104256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 30104256 is about 5486.7345479802. The cubic root of 30104256 is about 311.0827762554.

Adding to 30104256 its reverse (65240103), we get a palindrome (95344359).

The spelling of 30104256 in words is "thirty million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 1723 2184 2496 2912 3446 4368 5169 5824 6892 8736 10338 12061 13784 17472 20676 22399 24122 27568 36183 41352 44798 48244 55136 67197 72366 82704 89596 96488 110272 134394 144732 156793 165408 179192 192976 268788 289464 313586 330816 358384 385952 470379 537576 578928 627172 716768 771904 940758 1075152 1157856 1254344 1433536 1881516 2150304 2315712 2508688 3763032 4300608 5017376 7526064 10034752 15052128 30104256