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14910966 = 2377487
BaseRepresentation
bin111000111000…
…010111110110
31001001120000000
4320320113312
512304122331
61251332130
7240512130
oct70702766
931046000
1014910966
118464914
124bb1046
133120c75
141da2050
1514980e6
hexe385f6

14910966 has 64 divisors (see below), whose sum is σ = 38415360. Its totient is φ = 4251528.

The previous prime is 14910941. The next prime is 14910977. The reversal of 14910966 is 66901941.

It is a self number, because there is not a number n which added to its sum of digits gives 14910966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30375 + ... + 30861.

It is an arithmetic number, because the mean of its divisors is an integer number (600240).

Almost surely, 214910966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14910966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19207680).

14910966 is an abundant number, since it is smaller than the sum of its proper divisors (23504394).

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

14910966 is an frugal number, since it uses more digits than its factorization.

14910966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 14910966 is about 3861.4719991216. The cubic root of 14910966 is about 246.1322905353.

It can be divided in two parts, 14910 and 966, that added together give a square (15876 = 1262).

The spelling of 14910966 in words is "fourteen million, nine hundred ten thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 487 567 729 974 1134 1458 1461 1701 2187 2922 3402 3409 4374 4383 5103 6818 8766 10206 10227 13149 15309 20454 26298 30618 30681 39447 61362 78894 92043 118341 184086 236682 276129 355023 552258 710046 828387 1065069 1656774 2130138 2485161 4970322 7455483 14910966