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10474464 = 25371113109
BaseRepresentation
bin100111111101…
…001111100000
3201201011021010
4213331033200
510140140324
61012300520
7155013540
oct47751740
921634233
1010474464
115a04690
123611740
132229810
141569320
15dbd829
hex9fd3e0

10474464 has 192 divisors, whose sum is σ = 37255680. Its totient is φ = 2488320.

The previous prime is 10474463. The next prime is 10474469. The reversal of 10474464 is 46447401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10474463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96042 + ... + 96150.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 210474464 is an apocalyptic number.

10474464 is a gapful number since it is divisible by the number (14) 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 10474464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

10474464 is an abundant number, since it is smaller than the sum of its proper divisors (26781216).

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

10474464 is a wasteful number, since it uses less digits than its factorization.

10474464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 10474464 is about 3236.4276602452. The cubic root of 10474464 is about 218.7982963838.

It can be divided in two parts, 10 and 474464, that added together give a palindrome (474474).

The spelling of 10474464 in words is "ten million, four hundred seventy-four thousand, four hundred sixty-four".