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31474560 = 273513297
BaseRepresentation
bin111100000010…
…0001110000000
32012020001222110
41320010032000
531024141220
63042335320
7531346365
oct170041600
965201873
1031474560
1116848337
12a65a540
1366a0200
14427446c
152b6abe0
hex1e04380

31474560 has 192 divisors, whose sum is σ = 109756080. Its totient is φ = 7667712.

The previous prime is 31474559. The next prime is 31474571. The reversal of 31474560 is 6547413.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324432 + ... + 324528.

Almost surely, 231474560 is an apocalyptic number.

31474560 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 31474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54878040).

31474560 is an abundant number, since it is smaller than the sum of its proper divisors (78281520).

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

31474560 is a wasteful number, since it uses less digits than its factorization.

31474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 31474560 is about 5610.2192470526. The cubic root of 31474560 is about 315.7329367792.

The spelling of 31474560 in words is "thirty-one million, four hundred seventy-four thousand, five hundred sixty".