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13873692 = 22372343167
BaseRepresentation
bin110100111011…
…001000011100
3222002212010110
4310323020130
512022424232
61213210020
7225632040
oct64731034
928085113
1013873692
117916568
124790910
132b49ab1
141bb2020
151340acc
hexd3b21c

13873692 has 96 divisors (see below), whose sum is σ = 39739392. Its totient is φ = 3681216.

The previous prime is 13873681. The next prime is 13873721. The reversal of 13873692 is 29637831.

13873692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13873692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82993 + ... + 83159.

It is an arithmetic number, because the mean of its divisors is an integer number (413952).

Almost surely, 213873692 is an apocalyptic number.

13873692 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 13873692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19869696).

13873692 is an abundant number, since it is smaller than the sum of its proper divisors (25865700).

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

13873692 is a wasteful number, since it uses less digits than its factorization.

13873692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 13873692 is about 3724.7405278757. The cubic root of 13873692 is about 240.2872255635.

The spelling of 13873692 in words is "thirteen million, eight hundred seventy-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 43 46 69 84 86 92 129 138 161 167 172 258 276 301 322 334 483 501 516 602 644 668 903 966 989 1002 1169 1204 1806 1932 1978 2004 2338 2967 3507 3612 3841 3956 4676 5934 6923 7014 7181 7682 11523 11868 13846 14028 14362 15364 20769 21543 23046 26887 27692 28724 41538 43086 46092 50267 53774 80661 83076 86172 100534 107548 150801 161322 165163 201068 301602 322644 330326 495489 603204 660652 990978 1156141 1981956 2312282 3468423 4624564 6936846 13873692