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13140590 = 2519233197
BaseRepresentation
bin110010001000…
…001001101110
3220201121111112
4302020021232
511330444330
61145352022
7216456521
oct62101156
926647445
1013140590
1174657a1
124498612
1329511c8
141a60bb8
151248795
hexc8826e

13140590 has 64 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 4561920.

The previous prime is 13140577. The next prime is 13140593. The reversal of 13140590 is 9504131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135422 + ... + 135518.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 213140590 is an apocalyptic number.

13140590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13140590 is an abundant number, since it is smaller than the sum of its proper divisors (13954450).

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

13140590 is a wasteful number, since it uses less digits than its factorization.

13140590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 13140590 is about 3624.9951724106. The cubic root of 13140590 is about 235.9780574256.

The spelling of 13140590 in words is "thirteen million, one hundred forty thousand, five hundred ninety".

Divisors: 1 2 5 10 19 23 31 38 46 62 95 97 115 155 190 194 230 310 437 485 589 713 874 970 1178 1426 1843 2185 2231 2945 3007 3565 3686 4370 4462 5890 6014 7130 9215 11155 13547 15035 18430 22310 27094 30070 42389 57133 67735 69161 84778 114266 135470 138322 211945 285665 345805 423890 571330 691610 1314059 2628118 6570295 13140590