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13965912 = 2333194183
BaseRepresentation
bin110101010001…
…101001011000
3222021112122000
4311101221120
512033402122
61215201000
7226464642
oct65215130
928245560
1013965912
117979884
124816160
132b7ca6c
141bd7892
15135d0ac
hexd51a58

13965912 has 128 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 4250880.

The previous prime is 13965901. The next prime is 13965937. The reversal of 13965912 is 21956931.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168223 + ... + 168305.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 213965912 is an apocalyptic number.

13965912 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 13965912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

13965912 is an abundant number, since it is smaller than the sum of its proper divisors (28370088).

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

13965912 is a wasteful number, since it uses less digits than its factorization.

13965912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 13965912 is about 3737.0994099703. The cubic root of 13965912 is about 240.8184557033.

The spelling of 13965912 in words is "thirteen million, nine hundred sixty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 41 54 57 72 76 82 83 108 114 123 152 164 166 171 216 228 246 249 328 332 342 369 456 492 498 513 664 684 738 747 779 984 996 1026 1107 1368 1476 1494 1558 1577 1992 2052 2214 2241 2337 2952 2988 3116 3154 3403 4104 4428 4482 4674 4731 5976 6232 6308 6806 7011 8856 8964 9348 9462 10209 12616 13612 14022 14193 17928 18696 18924 20418 21033 27224 28044 28386 30627 37848 40836 42066 42579 56088 56772 61254 64657 81672 84132 85158 91881 113544 122508 129314 168264 170316 183762 193971 245016 258628 340632 367524 387942 517256 581913 735048 775884 1163826 1551768 1745739 2327652 3491478 4655304 6982956 13965912