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14714928 = 2432176011
BaseRepresentation
bin111000001000…
…100000110000
31000200121002100
4320020200300
512231334203
61243220400
7236034444
oct70104060
930617070
1014714928
1183405a8
124b17700
133082977
141d50824
151459ea3
hexe08830

14714928 has 60 divisors (see below), whose sum is σ = 43611048. Its totient is φ = 4615680.

The previous prime is 14714923. The next prime is 14714933. The reversal of 14714928 is 82941741.

It is an interprime number because it is at equal distance from previous prime (14714923) and next prime (14714933).

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

It is a junction number, because it is equal to n+sod(n) for n = 14714892 and 14714901.

It is not an unprimeable number, because it can be changed into a prime (14714923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558 + ... + 5453.

Almost surely, 214714928 is an apocalyptic number.

14714928 is a gapful number since it is divisible by the number (18) 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 14714928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21805524).

14714928 is an abundant number, since it is smaller than the sum of its proper divisors (28896120).

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

14714928 is a wasteful number, since it uses less digits than its factorization.

14714928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042 (or 6033 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 14714928 is about 3836.0041710092. The cubic root of 14714928 is about 245.0488754358.

The spelling of 14714928 in words is "fourteen million, seven hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 6011 12022 18033 24044 36066 48088 54099 72132 96176 102187 108198 144264 204374 216396 288528 306561 408748 432792 613122 817496 865584 919683 1226244 1634992 1839366 2452488 3678732 4904976 7357464 14714928