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10676268 = 2232296563
BaseRepresentation
bin101000101110…
…100000101100
3202002102002100
4220232200230
510213120033
61020455100
7156514101
oct50564054
922072070
1010676268
116032269
1236aa490
13229a625
1415bcaa8
15e0d513
hexa2e82c

10676268 has 18 divisors (see below), whose sum is σ = 26987324. Its totient is φ = 3558744.

The previous prime is 10676257. The next prime is 10676269. The reversal of 10676268 is 86267601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×106762682 = 227965396815648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 296563 = 10676268 / (1 + 0 + 6 + 7 + 6 + 2 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (10676269) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148246 + ... + 148317.

Almost surely, 210676268 is an apocalyptic number.

10676268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10676268 is an abundant number, since it is smaller than the sum of its proper divisors (16311056).

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

10676268 is a wasteful number, since it uses less digits than its factorization.

10676268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296573 (or 296568 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 10676268 is about 3267.4558910565. The cubic root of 10676268 is about 220.1945111695.

The spelling of 10676268 in words is "ten million, six hundred seventy-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 296563 593126 889689 1186252 1779378 2669067 3558756 5338134 10676268