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10398816 = 253236107
BaseRepresentation
bin100111101010…
…110001100000
3201120022111100
4213222301200
510130230231
61010514400
7154250151
oct47526140
921508440
1010398816
11596286a
123595a00
13220125c
141549928
15da61e6
hex9eac60

10398816 has 36 divisors (see below), whose sum is σ = 29572452. Its totient is φ = 3466176.

The previous prime is 10398811. The next prime is 10398823. The reversal of 10398816 is 61889301.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10398811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17766 + ... + 18341.

It is an arithmetic number, because the mean of its divisors is an integer number (821457).

Almost surely, 210398816 is an apocalyptic number.

10398816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10398816 is an abundant number, since it is smaller than the sum of its proper divisors (19173636).

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

10398816 is a wasteful number, since it uses less digits than its factorization.

10398816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36123 (or 36112 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 10398816 is about 3224.7195226872. The cubic root of 10398816 is about 218.2702929057.

The spelling of 10398816 in words is "ten million, three hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36107 72214 108321 144428 216642 288856 324963 433284 577712 649926 866568 1155424 1299852 1733136 2599704 3466272 5199408 10398816