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10764216 = 2332149503
BaseRepresentation
bin101001000011…
…111110111000
3202020212201200
4221003332320
510223423331
61022414200
7160331361
oct51037670
922225650
1010764216
116092351
123731360
1322cb678
141602b68
15e295e6
hexa43fb8

10764216 has 24 divisors (see below), whose sum is σ = 29153280. Its totient is φ = 3588048.

The previous prime is 10764211. The next prime is 10764293. The reversal of 10764216 is 61246701.

10764216 is a `hidden beast` number, since 1 + 0 + 7 + 642 + 16 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10764216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10764211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74680 + ... + 74823.

It is an arithmetic number, because the mean of its divisors is an integer number (1214720).

Almost surely, 210764216 is an apocalyptic number.

It is an amenable number.

10764216 is an abundant number, since it is smaller than the sum of its proper divisors (18389064).

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

10764216 is a wasteful number, since it uses less digits than its factorization.

10764216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149515 (or 149508 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10764216 is about 3280.8864655760. The cubic root of 10764216 is about 220.7974913074.

The spelling of 10764216 in words is "ten million, seven hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149503 299006 448509 598012 897018 1196024 1345527 1794036 2691054 3588072 5382108 10764216