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13923492 = 22311313337
BaseRepresentation
bin110101000111…
…010010100100
3222012101102220
4311013102210
512031022432
61214232340
7226230162
oct65072244
928171386
1013923492
11794aa20
1247b56b0
132b6666b
141bc6232
15135072c
hexd474a4

13923492 has 48 divisors (see below), whose sum is σ = 35660352. Its totient is φ = 4193280.

The previous prime is 13923479. The next prime is 13923517. The reversal of 13923492 is 29432931.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 41148 + ... + 41484.

It is an arithmetic number, because the mean of its divisors is an integer number (742924).

Almost surely, 213923492 is an apocalyptic number.

13923492 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 13923492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830176).

13923492 is an abundant number, since it is smaller than the sum of its proper divisors (21736860).

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

13923492 is a wasteful number, since it uses less digits than its factorization.

13923492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 13923492 is about 3731.4195690112. The cubic root of 13923492 is about 240.5743881184.

It can be divided in two parts, 1392 and 3492, that added together give a palindrome (4884).

The spelling of 13923492 in words is "thirteen million, nine hundred twenty-three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 313 337 626 674 939 1011 1252 1348 1878 2022 3443 3707 3756 4044 6886 7414 10329 11121 13772 14828 20658 22242 41316 44484 105481 210962 316443 421924 632886 1160291 1265772 2320582 3480873 4641164 6961746 13923492