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13929912 = 233231792
BaseRepresentation
bin110101001000…
…110110111000
3222012201020200
4311020312320
512031224122
61214322200
7226254663
oct65106670
928181220
1013929912
117954827
1247b9360
132b69569
141bc86da
1513525ac
hexd48db8

13929912 has 72 divisors (see below), whose sum is σ = 39443040. Its totient is φ = 4436640.

The previous prime is 13929887. The next prime is 13929913. The reversal of 13929912 is 21992931.

It is a happy number.

13929912 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13929913) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 176289 + ... + 176367.

It is an arithmetic number, because the mean of its divisors is an integer number (547820).

Almost surely, 213929912 is an apocalyptic number.

13929912 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 13929912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19721520).

13929912 is an abundant number, since it is smaller than the sum of its proper divisors (25513128).

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

13929912 is a wasteful number, since it uses less digits than its factorization.

13929912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 115 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 13929912 is about 3732.2797322816. The cubic root of 13929912 is about 240.6113580167.

It can be divided in two parts, 13929 and 912, that added together give a palindrome (14841).

The spelling of 13929912 in words is "thirteen million, nine hundred twenty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 79 93 124 158 186 237 248 279 316 372 474 558 632 711 744 948 1116 1422 1896 2232 2449 2844 4898 5688 6241 7347 9796 12482 14694 18723 19592 22041 24964 29388 37446 44082 49928 56169 58776 74892 88164 112338 149784 176328 193471 224676 386942 449352 580413 773884 1160826 1547768 1741239 2321652 3482478 4643304 6964956 13929912