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19893672 = 23321716253
BaseRepresentation
bin100101111100…
…0110110101000
31101102200222200
41023320312220
520043044142
61550220200
7331044021
oct113706650
941380880
1019893672
1110258457
1267b4660
134176c06
1428dbc48
151b2e64c
hex12f8da8

19893672 has 48 divisors (see below), whose sum is σ = 57051540. Its totient is φ = 6240768.

The previous prime is 19893659. The next prime is 19893673. The reversal of 19893672 is 27639891.

It can be written as a sum of positive squares in 2 ways, for example, as 18714276 + 1179396 = 4326^2 + 1086^2 .

It is not an unprimeable number, because it can be changed into a prime (19893673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6903 + ... + 9350.

Almost surely, 219893672 is an apocalyptic number.

19893672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19893672 is an abundant number, since it is smaller than the sum of its proper divisors (37157868).

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

19893672 is a wasteful number, since it uses less digits than its factorization.

19893672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16282 (or 16275 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 19893672 is about 4460.2322809468. The cubic root of 19893672 is about 270.9598756878.

The spelling of 19893672 in words is "nineteen million, eight hundred ninety-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 16253 32506 48759 65012 97518 130024 146277 195036 276301 292554 390072 552602 585108 828903 1105204 1170216 1657806 2210408 2486709 3315612 4973418 6631224 9946836 19893672