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31130624 = 210743101
BaseRepresentation
bin111011011000…
…0010000000000
32011120121012002
41312300100000
530432134444
63031123132
7525414560
oct166602000
964517162
1031130624
1116632998
12a5134a8
1365ac7b5
1441c4da0
152aedd4e
hex1db0400

31130624 has 88 divisors (see below), whose sum is σ = 73495488. Its totient is φ = 12902400.

The previous prime is 31130611. The next prime is 31130633. The reversal of 31130624 is 42603113.

It is a junction number, because it is equal to n+sod(n) for n = 31130596 and 31130605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308174 + ... + 308274.

It is an arithmetic number, because the mean of its divisors is an integer number (835176).

Almost surely, 231130624 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 31130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36747744).

31130624 is an abundant number, since it is smaller than the sum of its proper divisors (42364864).

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

31130624 is a wasteful number, since it uses less digits than its factorization.

31130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 31130624 is about 5579.4824132710. The cubic root of 31130624 is about 314.5786724492.

Adding to 31130624 its reverse (42603113), we get a palindrome (73733737).

The spelling of 31130624 in words is "thirty-one million, one hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 101 112 128 172 202 224 256 301 344 404 448 512 602 688 707 808 896 1024 1204 1376 1414 1616 1792 2408 2752 2828 3232 3584 4343 4816 5504 5656 6464 7168 8686 9632 11008 11312 12928 17372 19264 22016 22624 25856 30401 34744 38528 44032 45248 51712 60802 69488 77056 90496 103424 121604 138976 154112 180992 243208 277952 308224 361984 486416 555904 723968 972832 1111808 1945664 2223616 3891328 4447232 7782656 15565312 31130624