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31479240 = 233513171187
BaseRepresentation
bin111100000010…
…1010111001000
32012020022101210
41320011113020
531024313430
63042413120
7531366132
oct170052710
965208353
1031479240
1116850901
12a6611a0
1366a2390
144276052
152b6c2b0
hex1e055c8

31479240 has 128 divisors (see below), whose sum is σ = 107775360. Its totient is φ = 7286784.

The previous prime is 31479197. The next prime is 31479241. The reversal of 31479240 is 4297413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31479198 and 31479207.

It is not an unprimeable number, because it can be changed into a prime (31479241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25927 + ... + 27113.

It is an arithmetic number, because the mean of its divisors is an integer number (841995).

Almost surely, 231479240 is an apocalyptic number.

31479240 is a gapful number since it is divisible by the number (30) 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 31479240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53887680).

31479240 is an abundant number, since it is smaller than the sum of its proper divisors (76296120).

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

31479240 is a wasteful number, since it uses less digits than its factorization.

31479240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 31479240 is about 5610.6363275479. The cubic root of 31479240 is about 315.7485849398.

The spelling of 31479240 in words is "thirty-one million, four hundred seventy-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1187 1326 1560 1768 2040 2210 2374 2652 3315 3561 4420 4748 5304 5935 6630 7122 8840 9496 11870 13260 14244 15431 17805 20179 23740 26520 28488 30862 35610 40358 46293 47480 60537 61724 71220 77155 80716 92586 100895 121074 123448 142440 154310 161432 185172 201790 231465 242148 262327 302685 308620 370344 403580 462930 484296 524654 605370 617240 786981 807160 925860 1049308 1210740 1311635 1573962 1851720 2098616 2421480 2623270 3147924 3934905 5246540 6295848 7869810 10493080 15739620 31479240