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19132992 = 263259563
BaseRepresentation
bin100100011111…
…1001001000000
31100000001112100
41020333021000
514344223432
61522030400
7321425214
oct110771100
940001470
1019132992
11a88899a
1264a8400
133c6b8c8
142780944
151a2e07c
hex123f240

19132992 has 84 divisors (see below), whose sum is σ = 55869840. Its totient is φ = 6258432.

The previous prime is 19132963. The next prime is 19132999. The reversal of 19132992 is 29923191.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19132999) 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, 33703 + ... + 34265.

Almost surely, 219132992 is an apocalyptic number.

19132992 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 19132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27934920).

19132992 is an abundant number, since it is smaller than the sum of its proper divisors (36736848).

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

19132992 is a wasteful number, since it uses less digits than its factorization.

19132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 627 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 19132992 is about 4374.1275701561. The cubic root of 19132992 is about 267.4613074731.

The spelling of 19132992 in words is "nineteen million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 563 576 708 944 1062 1126 1416 1689 1888 2124 2252 2832 3378 3776 4248 4504 5067 5664 6756 8496 9008 10134 11328 13512 16992 18016 20268 27024 33217 33984 36032 40536 54048 66434 81072 99651 108096 132868 162144 199302 265736 298953 324288 398604 531472 597906 797208 1062944 1195812 1594416 2125888 2391624 3188832 4783248 6377664 9566496 19132992