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13148208 = 24321741131
BaseRepresentation
bin110010001010…
…000000110000
3220201222221200
4302022000300
511331220313
61145451200
7216520653
oct62120060
926658850
1013148208
117470497
1244a0b00
132954808
141a6389a
15124ab73
hexc8a030

13148208 has 120 divisors (see below), whose sum is σ = 40216176. Its totient is φ = 3993600.

The previous prime is 13148189. The next prime is 13148221. The reversal of 13148208 is 80284131.

It is a super-2 number, since 2×131482082 = 345750747222528, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 100303 + ... + 100433.

Almost surely, 213148208 is an apocalyptic number.

13148208 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 13148208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088).

13148208 is an abundant number, since it is smaller than the sum of its proper divisors (27067968).

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

13148208 is a wasteful number, since it uses less digits than its factorization.

13148208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13148208 is about 3626.0457801854. The cubic root of 13148208 is about 236.0236498372.

The spelling of 13148208 in words is "thirteen million, one hundred forty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 41 48 51 68 72 82 102 123 131 136 144 153 164 204 246 262 272 306 328 369 393 408 492 524 612 656 697 738 786 816 984 1048 1179 1224 1394 1476 1572 1968 2091 2096 2227 2358 2448 2788 2952 3144 4182 4454 4716 5371 5576 5904 6273 6288 6681 8364 8908 9432 10742 11152 12546 13362 16113 16728 17816 18864 20043 21484 25092 26724 32226 33456 35632 40086 42968 48339 50184 53448 64452 80172 85936 91307 96678 100368 106896 128904 160344 182614 193356 257808 273921 320688 365228 386712 547842 730456 773424 821763 1095684 1460912 1643526 2191368 3287052 4382736 6574104 13148208