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10639376 = 241161991
BaseRepresentation
bin101000100101…
…100000010000
3202000112110222
4220211200100
510210430001
61020012212
7156301406
oct50454020
922015428
1010639376
116007580
123691068
1322868b7
1415ad476
15e0261b
hexa25810

10639376 has 40 divisors (see below), whose sum is σ = 22879488. Its totient is φ = 4752000.

The previous prime is 10639351. The next prime is 10639397. The reversal of 10639376 is 67393601.

It is a super-2 number, since 2×106393762 = 226392643338752, 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10241 + ... + 11231.

Almost surely, 210639376 is an apocalyptic number.

10639376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10639376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439744).

10639376 is an abundant number, since it is smaller than the sum of its proper divisors (12240112).

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

10639376 is a wasteful number, since it uses less digits than its factorization.

10639376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 10639376 is about 3261.8056349206. The cubic root of 10639376 is about 219.9405900187.

The spelling of 10639376 in words is "ten million, six hundred thirty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 991 1342 1982 2684 3964 5368 7928 10736 10901 15856 21802 43604 60451 87208 120902 174416 241804 483608 664961 967216 1329922 2659844 5319688 10639376