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30928716 = 22347131049
BaseRepresentation
bin111010111111…
…0111101001100
32011012100020000
41311332331030
530404204331
63022524300
7523614120
oct165767514
964170200
1030928716
1116505225
12a436690
13653b920
144171580
152aae0e6
hex1d7ef4c

30928716 has 120 divisors (see below), whose sum is σ = 99607200. Its totient is φ = 8149248.

The previous prime is 30928699. The next prime is 30928717. The reversal of 30928716 is 61782903.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30928717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28960 + ... + 30008.

It is an arithmetic number, because the mean of its divisors is an integer number (830060).

Almost surely, 230928716 is an apocalyptic number.

30928716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30928716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49803600).

30928716 is an abundant number, since it is smaller than the sum of its proper divisors (68678484).

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

30928716 is a wasteful number, since it uses less digits than its factorization.

30928716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 30928716 is about 5561.3591863860. The cubic root of 30928716 is about 313.8970953044.

The spelling of 30928716 in words is "thirty million, nine hundred twenty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1049 1053 1092 1134 1404 1638 2098 2106 2268 2457 3147 3276 4196 4212 4914 6294 7343 7371 9441 9828 12588 13637 14686 14742 18882 22029 27274 28323 29372 29484 37764 40911 44058 54548 56646 66087 81822 84969 88116 95459 113292 122733 132174 163644 169938 190918 198261 245466 264348 286377 339876 368199 381836 396522 490932 572754 594783 736398 793044 859131 1104597 1145508 1189566 1472796 1718262 2209194 2379132 2577393 3436524 4418388 5154786 7732179 10309572 15464358 30928716