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31260672 = 2163253
BaseRepresentation
bin111011101000…
…0000000000000
32011211012120200
41313100000000
531000320142
63034005200
7526465662
oct167200000
964735520
1031260672
1116711673
12a576800
136626a51
14421a532
152b2764c
hex1dd0000

31260672 has 102 divisors (see below), whose sum is σ = 92011842. Its totient is φ = 10223616.

The previous prime is 31260653. The next prime is 31260707. The reversal of 31260672 is 27606213.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 2359296 = 5376^2 + 1536^2 .

It is a super-2 number, since 2×312606722 = 1954459227783168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589798 + ... + 589850.

Almost surely, 231260672 is an apocalyptic number.

31260672 is a gapful number since it is divisible by the number (32) 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 31260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46005921).

31260672 is an abundant number, since it is smaller than the sum of its proper divisors (60751170).

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

31260672 is an frugal number, since it uses more digits than its factorization.

31260672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 31260672 is about 5591.1243949674. The cubic root of 31260672 is about 315.0161140661.

Adding to 31260672 its reverse (27606213), we get a palindrome (58866885).

The spelling of 31260672 in words is "thirty-one million, two hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1024 1152 1272 1536 1696 1908 2048 2304 2544 3072 3392 3816 4096 4608 5088 6144 6784 7632 8192 9216 10176 12288 13568 15264 16384 18432 20352 24576 27136 30528 32768 36864 40704 49152 54272 61056 65536 73728 81408 98304 108544 122112 147456 162816 196608 217088 244224 294912 325632 434176 488448 589824 651264 868352 976896 1302528 1736704 1953792 2605056 3473408 3907584 5210112 7815168 10420224 15630336 31260672