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10675440 = 2432514827
BaseRepresentation
bin101000101110…
…010011110000
3202002100221200
4220232103300
510213103230
61020451200
7156511506
oct50562360
922070850
1010675440
116031686
1236a9b00
13229a139
1415bc676
15e0d160
hexa2e4f0

10675440 has 60 divisors (see below), whose sum is σ = 35854104. Its totient is φ = 2846592.

The previous prime is 10675429. The next prime is 10675453. The reversal of 10675440 is 4457601.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×106754402 = 227930038387200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6694 + ... + 8133.

Almost surely, 210675440 is an apocalyptic number.

10675440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10675440 is an abundant number, since it is smaller than the sum of its proper divisors (25178664).

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

10675440 is a wasteful number, since it uses less digits than its factorization.

10675440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14846 (or 14837 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10675440 is about 3267.3291845175. The cubic root of 10675440 is about 220.1888186132.

The spelling of 10675440 in words is "ten million, six hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 14827 29654 44481 59308 74135 88962 118616 133443 148270 177924 222405 237232 266886 296540 355848 444810 533772 593080 667215 711696 889620 1067544 1186160 1334430 1779240 2135088 2668860 3558480 5337720 10675440