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14906772 = 2232414077
BaseRepresentation
bin111000110111…
…010110010100
31001001100020200
4320313112110
512304004042
61251300500
7240463656
oct70672624
931040220
1014906772
118461751
124baa730
13311c09a
141da06d6
151496c4c
hexe37594

14906772 has 18 divisors (see below), whose sum is σ = 37681098. Its totient is φ = 4968912.

The previous prime is 14906761. The next prime is 14906779. The reversal of 14906772 is 27760941.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 14107536 + 799236 = 3756^2 + 894^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 414077 = 14906772 / (1 + 4 + 9 + 0 + 6 + 7 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14906779) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 207003 + ... + 207074.

Almost surely, 214906772 is an apocalyptic number.

14906772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14906772 is an abundant number, since it is smaller than the sum of its proper divisors (22774326).

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

14906772 is a wasteful number, since it uses less digits than its factorization.

14906772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414087 (or 414082 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 14906772 is about 3860.9289037743. The cubic root of 14906772 is about 246.1092118690.

The spelling of 14906772 in words is "fourteen million, nine hundred six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 414077 828154 1242231 1656308 2484462 3726693 4968924 7453386 14906772