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13065948 = 223472823
BaseRepresentation
bin110001110101…
…111011011100
3220120211010000
4301311323130
511321102243
61144014300
7216026100
oct61657334
926524100
1013065948
117414705
124461390
13292623c
141a41900
1512315d3
hexc75edc

13065948 has 90 divisors (see below), whose sum is σ = 39781896. Its totient is φ = 3728592.

The previous prime is 13065929. The next prime is 13065961. The reversal of 13065948 is 84956031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15465 + ... + 16287.

Almost surely, 213065948 is an apocalyptic number.

13065948 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 13065948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19890948).

13065948 is an abundant number, since it is smaller than the sum of its proper divisors (26715948).

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

13065948 is a wasteful number, since it uses less digits than its factorization.

13065948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13065948 is about 3614.6850485208. The cubic root of 13065948 is about 235.5304029879.

The spelling of 13065948 in words is "thirteen million, sixty-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 823 882 1134 1323 1646 1764 2268 2469 2646 3292 3969 4938 5292 5761 7407 7938 9876 11522 14814 15876 17283 22221 23044 29628 34566 40327 44442 51849 66663 69132 80654 88884 103698 120981 133326 155547 161308 207396 241962 266652 311094 362943 466641 483924 622188 725886 933282 1088829 1451772 1866564 2177658 3266487 4355316 6532974 13065948