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31090272 = 253312337
BaseRepresentation
bin111011010011…
…0011001100000
32011111112211120
41312212121200
530424342042
63030212240
7525156123
oct166463140
964445746
1031090272
1116605644
12a4b4080
136597315
1441b43ba
152ae1dec
hex1da6660

31090272 has 72 divisors (see below), whose sum is σ = 84579768. Its totient is φ = 9999360.

The previous prime is 31090271. The next prime is 31090309. The reversal of 31090272 is 27209013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31090271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92088 + ... + 92424.

It is an arithmetic number, because the mean of its divisors is an integer number (1174719).

Almost surely, 231090272 is an apocalyptic number.

31090272 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 31090272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42289884).

31090272 is an abundant number, since it is smaller than the sum of its proper divisors (53489496).

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

31090272 is a wasteful number, since it uses less digits than its factorization.

31090272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 31090272 is about 5575.8651346674. The cubic root of 31090272 is about 314.4426930868.

Adding to 31090272 its reverse (27209013), we get a palindrome (58299285).

The spelling of 31090272 in words is "thirty-one million, ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 337 372 496 674 744 961 992 1011 1348 1488 1922 2022 2696 2883 2976 3844 4044 5392 5766 7688 8088 10447 10784 11532 15376 16176 20894 23064 30752 31341 32352 41788 46128 62682 83576 92256 125364 167152 250728 323857 334304 501456 647714 971571 1002912 1295428 1943142 2590856 3886284 5181712 7772568 10363424 15545136 31090272