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31124720 = 24511113313
BaseRepresentation
bin111011010111…
…0110011110000
32011120022002102
41312232303300
530431442340
63031035532
7525361424
oct166566360
964508072
1031124720
1116629510
12a50bba8
1365a9bc3
1441c2b84
152aec215
hex1daecf0

31124720 has 80 divisors (see below), whose sum is σ = 79896672. Its totient is φ = 11182080.

The previous prime is 31124711. The next prime is 31124749. The reversal of 31124720 is 2742113.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31124692 and 31124701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99284 + ... + 99596.

Almost surely, 231124720 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 31124720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39948336).

31124720 is an abundant number, since it is smaller than the sum of its proper divisors (48771952).

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

31124720 is a wasteful number, since it uses less digits than its factorization.

31124720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 31124720 is about 5578.9533068489. The cubic root of 31124720 is about 314.5587843169.

Adding to 31124720 its reverse (2742113), we get a palindrome (33866833).

The spelling of 31124720 in words is "thirty-one million, one hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 176 220 226 313 440 452 565 626 880 904 1130 1243 1252 1565 1808 2260 2486 2504 3130 3443 4520 4972 5008 6215 6260 6886 9040 9944 12430 12520 13772 17215 19888 24860 25040 27544 34430 35369 49720 55088 68860 70738 99440 137720 141476 176845 275440 282952 353690 389059 565904 707380 778118 1414760 1556236 1945295 2829520 3112472 3890590 6224944 7781180 15562360 31124720