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13138104 = 233778203
BaseRepresentation
bin110010000111…
…100010111000
3220201111002110
4302013202320
511330404404
61145332320
7216446340
oct62074270
926644073
1013138104
117463941
1244970a0
132950035
141a5dd20
151247b89
hexc878b8

13138104 has 32 divisors (see below), whose sum is σ = 37537920. Its totient is φ = 3753696.

The previous prime is 13138087. The next prime is 13138109. The reversal of 13138104 is 40183131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138109) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 38934 + ... + 39269.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 213138104 is an apocalyptic number.

13138104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13138104 is an abundant number, since it is smaller than the sum of its proper divisors (24399816).

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

13138104 is a wasteful number, since it uses less digits than its factorization.

13138104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78219 (or 78215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13138104 is about 3624.6522591829. The cubic root of 13138104 is about 235.9631753325.

The spelling of 13138104 in words is "thirteen million, one hundred thirty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 78203 156406 234609 312812 469218 547421 625624 938436 1094842 1642263 1876872 2189684 3284526 4379368 6569052 13138104