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13131930 = 235762533
BaseRepresentation
bin110010000110…
…000010011010
3220201011121210
4302012002122
511330210210
61145243550
7216422340
oct62060232
926634553
1013131930
11745a239
1244935b6
13294a296
141a5b990
151245e20
hexc8609a

13131930 has 32 divisors (see below), whose sum is σ = 36019584. Its totient is φ = 3001536.

The previous prime is 13131917. The next prime is 13131959. The reversal of 13131930 is 3913131.

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

It is a junction number, because it is equal to n+sod(n) for n = 13131897 and 13131906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31057 + ... + 31476.

It is an arithmetic number, because the mean of its divisors is an integer number (1125612).

Almost surely, 213131930 is an apocalyptic number.

13131930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131930 is an abundant number, since it is smaller than the sum of its proper divisors (22887654).

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

13131930 is a wasteful number, since it uses less digits than its factorization.

13131930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62550.

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 13131930 is about 3623.8004911971. The cubic root of 13131930 is about 235.9262074182.

The spelling of 13131930 in words is "thirteen million, one hundred thirty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 62533 125066 187599 312665 375198 437731 625330 875462 937995 1313193 1875990 2188655 2626386 4377310 6565965 13131930