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10471920 = 243543633
BaseRepresentation
bin100111111100…
…100111110000
3201201000202220
4213330213300
510140100140
61012241040
7155003244
oct47744760
921630686
1010471920
115a02788
123610180
132228604
141568424
15dbcbd0
hex9fc9f0

10471920 has 40 divisors (see below), whose sum is σ = 32463696. Its totient is φ = 2792448.

The previous prime is 10471913. The next prime is 10471921. The reversal of 10471920 is 2917401.

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

It is a super-2 number, since 2×104719202 = 219322216972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10471921) 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, 21577 + ... + 22056.

Almost surely, 210471920 is an apocalyptic number.

10471920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10471920 is an abundant number, since it is smaller than the sum of its proper divisors (21991776).

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

10471920 is a wasteful number, since it uses less digits than its factorization.

10471920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43649 (or 43643 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10471920 is about 3236.0346104453. The cubic root of 10471920 is about 218.7805813028.

The spelling of 10471920 in words is "ten million, four hundred seventy-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 43633 87266 130899 174532 218165 261798 349064 436330 523596 654495 698128 872660 1047192 1308990 1745320 2094384 2617980 3490640 5235960 10471920