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18952920 = 23335723109
BaseRepresentation
bin100100001001…
…1001011011000
31022122220112000
41020103023120
514322443140
61514121000
7320045220
oct110231330
938586460
1018952920
11a775678
126420160
133c0795c
142735080
1519e5a30
hex12132d8

18952920 has 256 divisors, whose sum is σ = 76032000. Its totient is φ = 4105728.

The previous prime is 18952903. The next prime is 18952931. The reversal of 18952920 is 2925981.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173826 + ... + 173934.

It is an arithmetic number, because the mean of its divisors is an integer number (297000).

Almost surely, 218952920 is an apocalyptic number.

18952920 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 18952920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38016000).

18952920 is an abundant number, since it is smaller than the sum of its proper divisors (57079080).

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

18952920 is a wasteful number, since it uses less digits than its factorization.

18952920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 18952920 is about 4353.4951475797. The cubic root of 18952920 is about 266.6195819646.

The spelling of 18952920 in words is "eighteen million, nine hundred fifty-two thousand, nine hundred twenty".