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15339072 = 2637101113
BaseRepresentation
bin111010100000…
…111001000000
31001212022020210
4322200321000
512411322242
61304434120
7244244220
oct72407100
931768223
1015339072
118727521
125178940
133240a98
142074080
15152ed9c
hexea0e40

15339072 has 112 divisors (see below), whose sum is σ = 47256192. Its totient is φ = 4300800.

The previous prime is 15339059. The next prime is 15339073. The reversal of 15339072 is 27093351.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15339073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135688 + ... + 135800.

Almost surely, 215339072 is an apocalyptic number.

15339072 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 15339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23628096).

15339072 is an abundant number, since it is smaller than the sum of its proper divisors (31917120).

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

15339072 is a wasteful number, since it uses less digits than its factorization.

15339072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 15339072 is about 3916.5127345637. The cubic root of 15339072 is about 248.4656530494.

The spelling of 15339072 in words is "fifteen million, three hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 113 168 192 202 224 226 303 336 339 404 448 452 606 672 678 707 791 808 904 1212 1344 1356 1414 1582 1616 1808 2121 2373 2424 2712 2828 3164 3232 3616 4242 4746 4848 5424 5656 6328 6464 7232 8484 9492 9696 10848 11312 11413 12656 16968 18984 19392 21696 22624 22826 25312 33936 34239 37968 45248 45652 50624 67872 68478 75936 79891 91304 135744 136956 151872 159782 182608 239673 273912 319564 365216 479346 547824 639128 730432 958692 1095648 1278256 1917384 2191296 2556512 3834768 5113024 7669536 15339072