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13114948 = 227311279
BaseRepresentation
bin110010000001…
…111001000100
3220200022022211
4302001321010
511324134243
61145033204
7216322000
oct62017104
926608284
1013114948
117448500
124485804
132942632
141a55700
151240d9d
hexc81e44

13114948 has 72 divisors (see below), whose sum is σ = 29792000. Its totient is φ = 5045040.

The previous prime is 13114943. The next prime is 13114949. The reversal of 13114948 is 84941131.

It is a super-2 number, since 2×131149482 = 344003722085408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13114943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165973 + ... + 166051.

Almost surely, 213114948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14896000).

13114948 is an abundant number, since it is smaller than the sum of its proper divisors (16677052).

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

13114948 is a wasteful number, since it uses less digits than its factorization.

13114948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 13114948 is about 3621.4566130219. The cubic root of 13114948 is about 235.8244648934.

The spelling of 13114948 in words is "thirteen million, one hundred fourteen thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 79 98 121 154 158 196 242 308 316 343 484 539 553 686 847 869 1078 1106 1372 1694 1738 2156 2212 3388 3476 3773 3871 5929 6083 7546 7742 9559 11858 12166 15092 15484 19118 23716 24332 27097 38236 41503 42581 54194 66913 83006 85162 108388 133826 166012 170324 267652 298067 468391 596134 936782 1192268 1873564 3278737 6557474 13114948