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14939136 = 210321621
BaseRepresentation
bin111000111111…
…010000000000
31001002222122100
4320333100000
512311023021
61252110400
7240660222
oct70772000
931088570
1014939136
118483aa3
125005400
133130a34
141dac412
1514a1626
hexe3f400

14939136 has 66 divisors (see below), whose sum is σ = 43163042. Its totient is φ = 4976640.

The previous prime is 14939081. The next prime is 14939143. The reversal of 14939136 is 63193941.

It can be written as a sum of positive squares in only one way, i.e., 14017536 + 921600 = 3744^2 + 960^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14939136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8406 + ... + 10026.

Almost surely, 214939136 is an apocalyptic number.

14939136 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 14939136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21581521).

14939136 is an abundant number, since it is smaller than the sum of its proper divisors (28223906).

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

14939136 is a wasteful number, since it uses less digits than its factorization.

14939136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1626 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 14939136 is about 3865.1178507259. The cubic root of 14939136 is about 246.2871918539.

The spelling of 14939136 in words is "fourteen million, nine hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1621 2304 3072 3242 4608 4863 6484 9216 9726 12968 14589 19452 25936 29178 38904 51872 58356 77808 103744 116712 155616 207488 233424 311232 414976 466848 622464 829952 933696 1244928 1659904 1867392 2489856 3734784 4979712 7469568 14939136