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10682676 = 2232296741
BaseRepresentation
bin101000110000…
…000100110100
3202002201212200
4220300010310
510213321201
61020544500
7156541554
oct50600464
922081780
1010682676
116037064
1236b2130
1322a0514
1415c1164
15e10386
hexa30134

10682676 has 18 divisors (see below), whose sum is σ = 27003522. Its totient is φ = 3560880.

The previous prime is 10682663. The next prime is 10682689. The reversal of 10682676 is 67628601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10682663) and next prime (10682689).

It can be written as a sum of positive squares in only one way, i.e., 10074276 + 608400 = 3174^2 + 780^2 .

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

It is a super-2 number, since 2×106826762 = 228239133041952, which contains 22 as substring.

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: 296741 = 10682676 / (1 + 0 + 6 + 8 + 2 + 6 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 10682676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148335 + ... + 148406.

Almost surely, 210682676 is an apocalyptic number.

It is an amenable number.

10682676 is an abundant number, since it is smaller than the sum of its proper divisors (16320846).

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

10682676 is a wasteful number, since it uses less digits than its factorization.

10682676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296751 (or 296746 counting only the distinct ones).

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

The square root of 10682676 is about 3268.4363233816. The cubic root of 10682676 is about 220.2385566550.

The spelling of 10682676 in words is "ten million, six hundred eighty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 296741 593482 890223 1186964 1780446 2670669 3560892 5341338 10682676