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10673952 = 253111187
BaseRepresentation
bin101000101101…
…111100100000
3202002021220120
4220231330200
510213031302
61020440240
7156504252
oct50557440
922067816
1010673952
116030553
1236a9080
132299563
1415bbcd2
15e0c9bc
hexa2df20

10673952 has 24 divisors (see below), whose sum is σ = 28019376. Its totient is φ = 3557952.

The previous prime is 10673947. The next prime is 10674007. The reversal of 10673952 is 25937601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106739522 = 227866502596608, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 55498 + ... + 55689.

It is an arithmetic number, because the mean of its divisors is an integer number (1167474).

Almost surely, 210673952 is an apocalyptic number.

10673952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10673952 is an abundant number, since it is smaller than the sum of its proper divisors (17345424).

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

10673952 is a wasteful number, since it uses less digits than its factorization.

10673952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111200 (or 111192 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 10673952 is about 3267.1014676621. The cubic root of 10673952 is about 220.1785877723.

The spelling of 10673952 in words is "ten million, six hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 111187 222374 333561 444748 667122 889496 1334244 1778992 2668488 3557984 5336976 10673952