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10399968 = 253312037
BaseRepresentation
bin100111101011…
…000011100000
3201120101002000
4213223003200
510130244333
61010524000
7154253415
oct47530340
921511060
1010399968
115963717
123596600
132201937
14154a10c
15da6713
hex9eb0e0

10399968 has 48 divisors (see below), whose sum is σ = 30335760. Its totient is φ = 3466368.

The previous prime is 10399957. The next prime is 10399969. The reversal of 10399968 is 86999301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10399969) 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 7 ways as a sum of consecutive naturals, for example, 5155 + ... + 6882.

It is an arithmetic number, because the mean of its divisors is an integer number (631995).

Almost surely, 210399968 is an apocalyptic number.

10399968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10399968 is an abundant number, since it is smaller than the sum of its proper divisors (19935792).

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

10399968 is a wasteful number, since it uses less digits than its factorization.

10399968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12056 (or 12042 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 10399968 is about 3224.8981379262. The cubic root of 10399968 is about 218.2783527365.

The spelling of 10399968 in words is "ten million, three hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 12037 24074 36111 48148 72222 96296 108333 144444 192592 216666 288888 324999 385184 433332 577776 649998 866664 1155552 1299996 1733328 2599992 3466656 5199984 10399968