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10029696 = 27326119
BaseRepresentation
bin100110010000…
…101010000000
3200212120011020
4212100222000
510031422241
6554545440
7151152045
oct46205200
920776136
1010029696
115730506
123438280
132102241
1414911cc
15d31b66
hex990a80

10029696 has 32 divisors (see below), whose sum is σ = 26642400. Its totient is φ = 3343104.

The previous prime is 10029671. The next prime is 10029751. The reversal of 10029696 is 69692001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 12676 + ... + 13443.

It is an arithmetic number, because the mean of its divisors is an integer number (832575).

Almost surely, 210029696 is an apocalyptic number.

10029696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10029696 is an abundant number, since it is smaller than the sum of its proper divisors (16612704).

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

10029696 is an equidigital number, since it uses as much as digits as its factorization.

10029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26136 (or 26124 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 10029696 is about 3166.9695293766. The cubic root of 10029696 is about 215.6565185600.

The spelling of 10029696 in words is "ten million, twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 26119 52238 78357 104476 156714 208952 313428 417904 626856 835808 1253712 1671616 2507424 3343232 5014848 10029696