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30924972 = 22321331723
BaseRepresentation
bin111010111111…
…0000010101100
32011012011002100
41311332002230
530404044342
63022455100
7523600161
oct165760254
964164070
1030924972
1116502431
12a434490
13653a000
144170068
152aace4c
hex1d7e0ac

30924972 has 144 divisors (see below), whose sum is σ = 93562560. Its totient is φ = 8566272.

The previous prime is 30924937. The next prime is 30924983. The reversal of 30924972 is 27942903.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344553 + ... + 1344575.

It is an arithmetic number, because the mean of its divisors is an integer number (649740).

Almost surely, 230924972 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 30924972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46781280).

30924972 is an abundant number, since it is smaller than the sum of its proper divisors (62637588).

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

30924972 is a wasteful number, since it uses less digits than its factorization.

30924972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 30924972 is about 5561.0225678377. The cubic root of 30924972 is about 313.8844287785.

It can be divided in two parts, 309 and 24972, that added together give a square (25281 = 1592).

The spelling of 30924972 in words is "thirty million, nine hundred twenty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 23 26 34 36 39 46 51 52 68 69 78 92 102 117 138 153 156 169 204 207 221 234 276 299 306 338 391 414 442 468 507 598 612 663 676 782 828 884 897 1014 1173 1196 1326 1521 1564 1794 1989 2028 2197 2346 2652 2691 2873 3042 3519 3588 3887 3978 4394 4692 5083 5382 5746 6084 6591 7038 7774 7956 8619 8788 10166 10764 11492 11661 13182 14076 15249 15548 17238 19773 20332 23322 25857 26364 30498 34476 34983 37349 39546 45747 46644 50531 51714 60996 66079 69966 74698 79092 91494 101062 103428 112047 132158 139932 149396 151593 182988 198237 202124 224094 264316 303186 336141 396474 448188 454779 594711 606372 672282 792948 859027 909558 1189422 1344564 1718054 1819116 2378844 2577081 3436108 5154162 7731243 10308324 15462486 30924972