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20315372 = 2271171929
BaseRepresentation
bin100110101111…
…1110011101100
31102020010110012
41031133303230
520200042442
62003232352
7334451330
oct115376354
942203405
1020315372
1110516270
1269786b8
134293b3c
1429ab7c0
151bb4582
hex135fcec

20315372 has 48 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 7795200.

The previous prime is 20315369. The next prime is 20315387. The reversal of 20315372 is 27351302.

It is a super-3 number, since 3×203153723 (a number of 23 digits) contains 333 as substring.

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, 21404 + ... + 22332.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 220315372 is an apocalyptic number.

20315372 is a gapful number since it is divisible by the number (22) 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 20315372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

20315372 is an abundant number, since it is smaller than the sum of its proper divisors (24681748).

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

20315372 is a wasteful number, since it uses less digits than its factorization.

20315372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 20315372 is about 4507.2577028610. The cubic root of 20315372 is about 272.8610795659.

Adding to 20315372 its reverse (27351302), we get a palindrome (47666674).

The spelling of 20315372 in words is "twenty million, three hundred fifteen thousand, three hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 142 154 284 308 497 781 929 994 1562 1858 1988 3124 3716 5467 6503 10219 10934 13006 20438 21868 26012 40876 65959 71533 131918 143066 263836 286132 461713 725549 923426 1451098 1846852 2902196 5078843 10157686 20315372