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60131340 = 223251731931
BaseRepresentation
bin1110010101100…
…0100000001100
311012010222200200
43211120200030
5110343200330
65544453500
71330052013
oct345304014
9135128620
1060131340
1130a40625
121817a290
13c5c4999
147db3a7a
15542ba60
hex395880c

60131340 has 72 divisors (see below), whose sum is σ = 183547728. Its totient is φ = 15934080.

The previous prime is 60131321. The next prime is 60131353. The reversal of 60131340 is 4313106.

60131340 is a `hidden beast` number, since 601 + 31 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30175 + ... + 32105.

It is an arithmetic number, because the mean of its divisors is an integer number (2549274).

Almost surely, 260131340 is an apocalyptic number.

60131340 is a gapful number since it is divisible by the number (60) 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 60131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91773864).

60131340 is an abundant number, since it is smaller than the sum of its proper divisors (123416388).

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

60131340 is a wasteful number, since it uses less digits than its factorization.

60131340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 60131340 is about 7754.4400184668. The cubic root of 60131340 is about 391.7722107794.

Adding to 60131340 its reverse (4313106), we get a palindrome (64444446).

The spelling of 60131340 in words is "sixty million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 1931 2076 2595 3114 3460 3862 5190 5793 6228 7724 7785 9655 10380 11586 15570 17379 19310 23172 28965 31140 34758 38620 57930 69516 86895 115860 173790 334063 347580 668126 1002189 1336252 1670315 2004378 3006567 3340630 4008756 5010945 6013134 6681260 10021890 12026268 15032835 20043780 30065670 60131340