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19930880 = 28523677
BaseRepresentation
bin100110000000…
…1111100000000
31101111121000202
41030001330000
520100242010
61551104332
7331260344
oct114017400
941447022
1019930880
1110283402
1268120a8
13418ab28
14290b624
151b3a6a5
hex1301f00

19930880 has 72 divisors (see below), whose sum is σ = 49889952. Its totient is φ = 7614464.

The previous prime is 19930877. The next prime is 19930891. The reversal of 19930880 is 8803991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29102 + ... + 29778.

It is an arithmetic number, because the mean of its divisors is an integer number (692916).

Almost surely, 219930880 is an apocalyptic number.

19930880 is a gapful number since it is divisible by the number (10) 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 19930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24944976).

19930880 is an abundant number, since it is smaller than the sum of its proper divisors (29959072).

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

19930880 is an equidigital number, since it uses as much as digits as its factorization.

19930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 19930880 is about 4464.4014156435. The cubic root of 19930880 is about 271.1286998254.

The spelling of 19930880 in words is "nineteen million, nine hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 677 736 920 1280 1354 1472 1840 2708 2944 3385 3680 5416 5888 6770 7360 10832 13540 14720 15571 21664 27080 29440 31142 43328 54160 62284 77855 86656 108320 124568 155710 173312 216640 249136 311420 433280 498272 622840 866560 996544 1245680 1993088 2491360 3986176 4982720 9965440 19930880