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19951872 = 28383313
BaseRepresentation
bin100110000011…
…1000100000000
31101112122211020
41030013010000
520101424442
61551345440
7331405503
oct114070400
941478736
1019951872
1110298156
126822280
134197555
14291513a
151b419ec
hex1307100

19951872 has 72 divisors (see below), whose sum is σ = 53912544. Its totient is φ = 6549504.

The previous prime is 19951859. The next prime is 19951889. The reversal of 19951872 is 27815991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63588 + ... + 63900.

Almost surely, 219951872 is an apocalyptic number.

19951872 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 19951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26956272).

19951872 is an abundant number, since it is smaller than the sum of its proper divisors (33960672).

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

19951872 is an equidigital number, since it uses as much as digits as its factorization.

19951872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its digits is 45360, while the sum is 42.

The square root of 19951872 is about 4466.7518399839. The cubic root of 19951872 is about 271.2238542901.

The spelling of 19951872 in words is "nineteen million, nine hundred fifty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 313 332 384 498 626 664 768 939 996 1252 1328 1878 1992 2504 2656 3756 3984 5008 5312 7512 7968 10016 10624 15024 15936 20032 21248 25979 30048 31872 40064 51958 60096 63744 77937 80128 103916 120192 155874 207832 240384 311748 415664 623496 831328 1246992 1662656 2493984 3325312 4987968 6650624 9975936 19951872