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14974272 = 263225997
BaseRepresentation
bin111001000111…
…110101000000
31001011202211200
4321013311000
512313134042
61252541200
7241164525
oct71076500
931152750
1014974272
1184a8435
125021800
133143a21
141dbb14c
1514abc4c
hexe47d40

14974272 has 42 divisors (see below), whose sum is σ = 42922698. Its totient is φ = 4991232.

The previous prime is 14974241. The next prime is 14974273. The reversal of 14974272 is 27247941.

It can be written as a sum of positive squares in only one way, i.e., 9884736 + 5089536 = 3144^2 + 2256^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14974273) 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 5 ways as a sum of consecutive naturals, for example, 12423 + ... + 13574.

It is an arithmetic number, because the mean of its divisors is an integer number (1021969).

Almost surely, 214974272 is an apocalyptic number.

14974272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14974272 is an abundant number, since it is smaller than the sum of its proper divisors (27948426).

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

14974272 is a wasteful number, since it uses less digits than its factorization.

14974272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26015 (or 26002 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 14974272 is about 3869.6604502204. The cubic root of 14974272 is about 246.4801251759.

The spelling of 14974272 in words is "fourteen million, nine hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 25997 51994 77991 103988 155982 207976 233973 311964 415952 467946 623928 831904 935892 1247856 1663808 1871784 2495712 3743568 4991424 7487136 14974272