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13169640 = 2335112907
BaseRepresentation
bin110010001111…
…001111101000
3220210002100110
4302033033220
511332412030
61150134320
7216640311
oct62171750
926702313
1013169640
117485600
1244b13a0
1329614b3
141a6b608
1512521b0
hexc8f3e8

13169640 has 96 divisors (see below), whose sum is σ = 43475040. Its totient is φ = 3189120.

The previous prime is 13169609. The next prime is 13169657. The reversal of 13169640 is 4696131.

It is a Cunningham number, because it is equal to 36292-1.

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 = 13169598 and 13169607.

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 23 ways as a sum of consecutive naturals, for example, 14067 + ... + 14973.

It is an arithmetic number, because the mean of its divisors is an integer number (452865).

Almost surely, 213169640 is an apocalyptic number.

13169640 is a gapful number since it is divisible by the number (10) 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 13169640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21737520).

13169640 is an abundant number, since it is smaller than the sum of its proper divisors (30305400).

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

13169640 is a wasteful number, since it uses less digits than its factorization.

13169640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 928 counting only the distinct ones).

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

The square root of 13169640 is about 3628.9998622210. Note that the first 3 decimals coincide. The cubic root of 13169640 is about 236.1518222560.

It can be divided in two parts, 13 and 169640, that added together give a triangular number (169653 = T582).

The spelling of 13169640 in words is "thirteen million, one hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 907 968 1210 1320 1452 1814 1815 2420 2721 2904 3628 3630 4535 4840 5442 7256 7260 9070 9977 10884 13605 14520 18140 19954 21768 27210 29931 36280 39908 49885 54420 59862 79816 99770 108840 109747 119724 149655 199540 219494 239448 299310 329241 399080 438988 548735 598620 658482 877976 1097470 1197240 1316964 1646205 2194940 2633928 3292410 4389880 6584820 13169640