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14709972 = 22323223239
BaseRepresentation
bin111000000111…
…010011010100
31000200100021210
4320013103110
512231204342
61243141420
7236014134
oct70072324
930610253
1014709972
118337902
124b14870
133080634
141d4cac4
15145879c
hexe074d4

14709972 has 48 divisors (see below), whose sum is σ = 36126720. Its totient is φ = 4649568.

The previous prime is 14709941. The next prime is 14709977. The reversal of 14709972 is 27990741.

It is a self number, because there is not a number n which added to its sum of digits gives 14709972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14709977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61429 + ... + 61667.

It is an arithmetic number, because the mean of its divisors is an integer number (752640).

Almost surely, 214709972 is an apocalyptic number.

14709972 is a gapful number since it is divisible by the number (12) 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 14709972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063360).

14709972 is an abundant number, since it is smaller than the sum of its proper divisors (21416748).

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

14709972 is a wasteful number, since it uses less digits than its factorization.

14709972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 14709972 is about 3835.3581319089. The cubic root of 14709972 is about 245.0213614583.

The spelling of 14709972 in words is "fourteen million, seven hundred nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 223 239 276 446 478 669 717 892 956 1338 1434 2676 2868 5129 5497 10258 10994 15387 16491 20516 21988 30774 32982 53297 61548 65964 106594 159891 213188 319782 639564 1225831 2451662 3677493 4903324 7354986 14709972