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13845960 = 2332538461
BaseRepresentation
bin110100110100…
…010111001000
3222001110002100
4310310113020
512021032320
61212433400
7225455142
oct64642710
928043070
1013845960
1178a7747
124778860
132b3a29b
141ba5c92
151337790
hexd345c8

13845960 has 48 divisors (see below), whose sum is σ = 45000540. Its totient is φ = 3692160.

The previous prime is 13845947. The next prime is 13845961. The reversal of 13845960 is 6954831.

It can be written as a sum of positive squares in 2 ways, for example, as 13003236 + 842724 = 3606^2 + 918^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13845961) 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 11 ways as a sum of consecutive naturals, for example, 18871 + ... + 19590.

Almost surely, 213845960 is an apocalyptic number.

13845960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13845960 is an abundant number, since it is smaller than the sum of its proper divisors (31154580).

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

13845960 is a wasteful number, since it uses less digits than its factorization.

13845960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38478 (or 38471 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13845960 is about 3721.0159902908. The cubic root of 13845960 is about 240.1270161003.

The spelling of 13845960 in words is "thirteen million, eight hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 38461 76922 115383 153844 192305 230766 307688 346149 384610 461532 576915 692298 769220 923064 1153830 1384596 1538440 1730745 2307660 2769192 3461490 4615320 6922980 13845960