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13499040 = 253528123
BaseRepresentation
bin110011011111…
…101010100000
3221101211012110
4303133222200
511423432130
61201155320
7222511542
oct63375240
927354173
1013499040
117690035
12462bb40
132a483c9
141b15692
1512b9ab0
hexcdfaa0

13499040 has 48 divisors (see below), whose sum is σ = 42523488. Its totient is φ = 3599616.

The previous prime is 13499039. The next prime is 13499053. The reversal of 13499040 is 4099431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13498989 and 13499007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13582 + ... + 14541.

It is an arithmetic number, because the mean of its divisors is an integer number (885906).

Almost surely, 213499040 is an apocalyptic number.

13499040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13499040 is an abundant number, since it is smaller than the sum of its proper divisors (29024448).

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

13499040 is a wasteful number, since it uses less digits than its factorization.

13499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28141 (or 28133 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13499040 is about 3674.1039723993. The cubic root of 13499040 is about 238.1045135688.

The spelling of 13499040 in words is "thirteen million, four hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 28123 56246 84369 112492 140615 168738 224984 281230 337476 421845 449968 562460 674952 843690 899936 1124920 1349904 1687380 2249840 2699808 3374760 4499680 6749520 13499040