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31479630 = 2357132887
BaseRepresentation
bin111100000010…
…1011101001110
32012020022221020
41320011131032
531024322010
63042415010
7531400230
oct170053516
965208836
1031479630
1116851126
12a661466
1366a2600
144276250
152b6c470
hex1e0574e

31479630 has 96 divisors (see below), whose sum is σ = 93602304. Its totient is φ = 6634368.

The previous prime is 31479619. The next prime is 31479647. The reversal of 31479630 is 3697413.

It is a junction number, because it is equal to n+sod(n) for n = 31479591 and 31479600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35047 + ... + 35933.

It is an arithmetic number, because the mean of its divisors is an integer number (975024).

Almost surely, 231479630 is an apocalyptic number.

31479630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31479630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46801152).

31479630 is an abundant number, since it is smaller than the sum of its proper divisors (62122674).

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

31479630 is a wasteful number, since it uses less digits than its factorization.

31479630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 31479630 is about 5610.6710828563. The cubic root of 31479630 is about 315.7498888832.

The spelling of 31479630 in words is "thirty-one million, four hundred seventy-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 887 910 1014 1183 1365 1690 1774 2366 2535 2661 2730 3549 4435 5070 5322 5915 6209 7098 8870 11531 11830 12418 13305 17745 18627 23062 26610 31045 34593 35490 37254 57655 62090 69186 80717 93135 115310 149903 161434 172965 186270 242151 299806 345930 403585 449709 484302 749515 807170 899418 1049321 1210755 1499030 2098642 2248545 2421510 3147963 4497090 5246605 6295926 10493210 15739815 31479630