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13048272 = 2432313779
BaseRepresentation
bin110001110001…
…100111010000
3220112220212100
4301301213100
511320021042
61143400400
7215623416
oct61614720
926486770
1013048272
1174023a6
124453100
13291b193
141a392b6
15122b24c
hexc719d0

13048272 has 120 divisors (see below), whose sum is σ = 39203840. Its totient is φ = 4043520.

The previous prime is 13048267. The next prime is 13048283. The reversal of 13048272 is 27284031.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 165129 + ... + 165207.

Almost surely, 213048272 is an apocalyptic number.

13048272 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 13048272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19601920).

13048272 is an abundant number, since it is smaller than the sum of its proper divisors (26155568).

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

13048272 is a wasteful number, since it uses less digits than its factorization.

13048272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13048272 is about 3612.2391947378. The cubic root of 13048272 is about 235.4241442304.

The spelling of 13048272 in words is "thirteen million, forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 37 48 62 72 74 79 93 111 124 144 148 158 186 222 237 248 279 296 316 333 372 444 474 496 558 592 632 666 711 744 888 948 1116 1147 1264 1332 1422 1488 1776 1896 2232 2294 2449 2664 2844 2923 3441 3792 4464 4588 4898 5328 5688 5846 6882 7347 8769 9176 9796 10323 11376 11692 13764 14694 17538 18352 19592 20646 22041 23384 26307 27528 29388 35076 39184 41292 44082 46768 52614 55056 58776 70152 82584 88164 90613 105228 117552 140304 165168 176328 181226 210456 271839 352656 362452 420912 543678 724904 815517 1087356 1449808 1631034 2174712 3262068 4349424 6524136 13048272