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19932880 = 2451122651
BaseRepresentation
bin100110000001…
…0011011010000
31101111200202211
41030002123100
520100323010
61551121504
7331266232
oct114023320
941450684
1019932880
1110284960
126813294
13418ba06
14290c252
151b3b08a
hex13026d0

19932880 has 40 divisors (see below), whose sum is σ = 50559264. Its totient is φ = 7248000.

The previous prime is 19932859. The next prime is 19932883. The reversal of 19932880 is 8823991.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19932883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10446 + ... + 12205.

Almost surely, 219932880 is an apocalyptic number.

19932880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19932880 is an abundant number, since it is smaller than the sum of its proper divisors (30626384).

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

19932880 is a wasteful number, since it uses less digits than its factorization.

19932880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22675 (or 22669 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 19932880 is about 4464.6254042193. The cubic root of 19932880 is about 271.1377684877.

Subtracting from 19932880 its reverse (8823991), we obtain a square (11108889 = 33332).

The spelling of 19932880 in words is "nineteen million, nine hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 22651 45302 90604 113255 181208 226510 249161 362416 453020 498322 906040 996644 1245805 1812080 1993288 2491610 3986576 4983220 9966440 19932880