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10393668 = 2232614733
BaseRepresentation
bin100111101001…
…100001000100
3201120001102200
4213221201010
510130044133
61010434500
7154226145
oct47514104
921501380
1010393668
115959a0a
123592a30
1321cbacc
141547acc
15da4913
hex9e9844

10393668 has 36 divisors (see below), whose sum is σ = 26709228. Its totient is φ = 3407040.

The previous prime is 10393657. The next prime is 10393679. The reversal of 10393668 is 86639301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10393657) and next prime (10393679).

It can be written as a sum of positive squares in 2 ways, for example, as 956484 + 9437184 = 978^2 + 3072^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171 + ... + 4562.

It is an arithmetic number, because the mean of its divisors is an integer number (741923).

Almost surely, 210393668 is an apocalyptic number.

10393668 is a gapful number since it is divisible by the number (18) 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 10393668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13354614).

10393668 is an abundant number, since it is smaller than the sum of its proper divisors (16315560).

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

10393668 is a wasteful number, since it uses less digits than its factorization.

10393668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 10393668 is about 3223.9212149183. The cubic root of 10393668 is about 218.2342682614.

The spelling of 10393668 in words is "ten million, three hundred ninety-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 4733 9466 14199 18932 28398 42597 56796 85194 170388 288713 577426 866139 1154852 1732278 2598417 3464556 5196834 10393668