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14942336 = 271071091
BaseRepresentation
bin111001000000…
…000010000000
31001010011000212
4321000002000
512311123321
61252133252
7241002443
oct71000200
931104025
1014942336
118486442
125007228
133132326
141dad65a
1514a255b
hexe40080

14942336 has 32 divisors (see below), whose sum is σ = 30073680. Its totient is φ = 7394560.

The previous prime is 14942311. The next prime is 14942353. The reversal of 14942336 is 63324941.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13151 + ... + 14241.

Almost surely, 214942336 is an apocalyptic number.

14942336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036840).

14942336 is an abundant number, since it is smaller than the sum of its proper divisors (15131344).

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

14942336 is a wasteful number, since it uses less digits than its factorization.

14942336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1200 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 14942336 is about 3865.5317874776. The cubic root of 14942336 is about 246.3047757077.

The spelling of 14942336 in words is "fourteen million, nine hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1091 1712 2182 3424 4364 6848 8728 13696 17456 34912 69824 116737 139648 233474 466948 933896 1867792 3735584 7471168 14942336