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19108872 = 233437797
BaseRepresentation
bin100100011100…
…1010000001000
31022221211110000
41020321100020
514342440442
61521323000
7321264666
oct110712010
938854400
1019108872
11a871862
126496460
133c60933
142775c36
151a26d4c
hex1239408

19108872 has 80 divisors (see below), whose sum is σ = 55038060. Its totient is φ = 6189696.

The previous prime is 19108823. The next prime is 19108877. The reversal of 19108872 is 27880191.

It can be written as a sum of positive squares in 2 ways, for example, as 18198756 + 910116 = 4266^2 + 954^2 .

It is a super-2 number, since 2×191088722 = 730297978224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19108877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23578 + ... + 24374.

Almost surely, 219108872 is an apocalyptic number.

19108872 is a gapful number since it is divisible by the number (12) 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 19108872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27519030).

19108872 is an abundant number, since it is smaller than the sum of its proper divisors (35929188).

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

19108872 is a wasteful number, since it uses less digits than its factorization.

19108872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 19108872 is about 4371.3695794339. The cubic root of 19108872 is about 267.3488685418.

The spelling of 19108872 in words is "nineteen million, one hundred eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 797 888 999 1332 1594 1998 2391 2664 2997 3188 3996 4782 5994 6376 7173 7992 9564 11988 14346 19128 21519 23976 28692 29489 43038 57384 58978 64557 86076 88467 117956 129114 172152 176934 235912 258228 265401 353868 516456 530802 707736 796203 1061604 1592406 2123208 2388609 3184812 4777218 6369624 9554436 19108872