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10693984 = 25747741
BaseRepresentation
bin101000110010…
…110101100000
3202010022101111
4220302311200
510214201414
61021113104
7156616540
oct50626540
922108344
1010693984
116044604
1236b8794
1322a5702
1415c5320
15e138c4
hexa32d60

10693984 has 24 divisors (see below), whose sum is σ = 24061968. Its totient is φ = 4583040.

The previous prime is 10693961. The next prime is 10693987. The reversal of 10693984 is 48939601.

It is a super-2 number, since 2×106939842 = 228722587584512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10693987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23647 + ... + 24094.

It is an arithmetic number, because the mean of its divisors is an integer number (1002582).

Almost surely, 210693984 is an apocalyptic number.

10693984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10693984 is an abundant number, since it is smaller than the sum of its proper divisors (13367984).

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

10693984 is an equidigital number, since it uses as much as digits as its factorization.

10693984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47758 (or 47750 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 10693984 is about 3270.1657450350. The cubic root of 10693984 is about 220.3162394181.

The spelling of 10693984 in words is "ten million, six hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 47741 95482 190964 334187 381928 668374 763856 1336748 1527712 2673496 5346992 10693984