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10645640 = 235377193
BaseRepresentation
bin101000100111…
…000010001000
3202000212001222
4220213002020
510211130030
61020101212
7156325565
oct50470210
922025058
1010645640
116011255
123694808
1322896c5
1415b186c
15e043e5
hexa27088

10645640 has 32 divisors (see below), whose sum is σ = 24603480. Its totient is φ = 4142592.

The previous prime is 10645637. The next prime is 10645673. The reversal of 10645640 is 4654601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8168164 + 2477476 = 2858^2 + 1574^2 .

It is a super-2 number, since 2×106456402 = 226659302019200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2117 + ... + 5076.

Almost surely, 210645640 is an apocalyptic number.

10645640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10645640 is an abundant number, since it is smaller than the sum of its proper divisors (13957840).

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

10645640 is a wasteful number, since it uses less digits than its factorization.

10645640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7241 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 10645640 is about 3262.7656979930. The cubic root of 10645640 is about 219.9837453555.

The spelling of 10645640 in words is "ten million, six hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 7193 14386 28772 35965 57544 71930 143860 266141 287720 532282 1064564 1330705 2129128 2661410 5322820 10645640