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13705902 = 2337101359
BaseRepresentation
bin110100010010…
…001010101110
3221210022222000
4310102022232
512002042102
61205433130
7224332620
oct64221256
927708860
1013705902
1178114a1
12470b7a6
132abb602
141b6ac10
15130b01c
hexd122ae

13705902 has 64 divisors (see below), whose sum is σ = 35251200. Its totient is φ = 3866400.

The previous prime is 13705889. The next prime is 13705903. The reversal of 13705902 is 20950731.

13705902 is a `hidden beast` number, since 1 + 3 + 70 + 590 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705903) 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 31 ways as a sum of consecutive naturals, for example, 37999 + ... + 38357.

It is an arithmetic number, because the mean of its divisors is an integer number (550800).

Almost surely, 213705902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13705902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600).

13705902 is an abundant number, since it is smaller than the sum of its proper divisors (21545298).

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

13705902 is a wasteful number, since it uses less digits than its factorization.

13705902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 13705902 is about 3702.1482952470. The cubic root of 13705902 is about 239.3146070152.

The spelling of 13705902 in words is "thirteen million, seven hundred five thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 359 378 606 707 718 909 1077 1414 1818 2121 2154 2513 2727 3231 4242 5026 5454 6363 6462 7539 9693 12726 15078 19089 19386 22617 36259 38178 45234 67851 72518 108777 135702 217554 253813 326331 507626 652662 761439 978993 1522878 1957986 2284317 4568634 6852951 13705902