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11429856 = 253313229
BaseRepresentation
bin101011100110…
…011111100000
3210111200211000
4223212133200
510411223411
61044552000
7166103124
oct53463740
923450730
1011429856
1164a7469
1239b2600
1324a2639
141737584
15100b956
hexae67e0

11429856 has 48 divisors (see below), whose sum is σ = 33339600. Its totient is φ = 3809664.

The previous prime is 11429819. The next prime is 11429861. The reversal of 11429856 is 65892411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11429856.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5751 + ... + 7478.

It is an arithmetic number, because the mean of its divisors is an integer number (694575).

Almost surely, 211429856 is an apocalyptic number.

11429856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11429856 is an abundant number, since it is smaller than the sum of its proper divisors (21909744).

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

11429856 is a wasteful number, since it uses less digits than its factorization.

11429856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13248 (or 13234 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11429856 is about 3380.8070042521. The cubic root of 11429856 is about 225.2580151233.

The spelling of 11429856 in words is "eleven million, four hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 13229 26458 39687 52916 79374 105832 119061 158748 211664 238122 317496 357183 423328 476244 634992 714366 952488 1269984 1428732 1904976 2857464 3809952 5714928 11429856