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6131940 = 2235102199
BaseRepresentation
bin10111011001000011100100
3102112112102220
4113121003210
53032210230
6335232340
7103056243
oct27310344
912475386
106131940
113509021
1220786b0
131369089
14b5895a
15811d10
hex5d90e4

6131940 has 24 divisors (see below), whose sum is σ = 17169600. Its totient is φ = 1635168.

The previous prime is 6131921. The next prime is 6131947. The reversal of 6131940 is 491316.

It is a super-3 number, since 3×61319403 (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6131940.

It is not an unprimeable number, because it can be changed into a prime (6131947) 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 7 ways as a sum of consecutive naturals, for example, 51040 + ... + 51159.

It is an arithmetic number, because the mean of its divisors is an integer number (715400).

Almost surely, 26131940 is an apocalyptic number.

6131940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6131940 is an abundant number, since it is smaller than the sum of its proper divisors (11037660).

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

6131940 is a wasteful number, since it uses less digits than its factorization.

6131940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102211 (or 102209 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 6131940 is about 2476.2754289457. The cubic root of 6131940 is about 183.0343630415.

The spelling of 6131940 in words is "six million, one hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 102199 204398 306597 408796 510995 613194 1021990 1226388 1532985 2043980 3065970 6131940