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60131040 = 2535177369
BaseRepresentation
bin1110010101100…
…0011011100000
311012010222021120
43211120123200
5110343143130
65544452240
71330051104
oct345303340
9135128246
1060131040
1130a40382
121817a080
13c5c47c8
147db3904
15542b910
hex39586e0

60131040 has 96 divisors (see below), whose sum is σ = 200581920. Its totient is φ = 15089664.

The previous prime is 60131033. The next prime is 60131047. The reversal of 60131040 is 4013106.

It is an interprime number because it is at equal distance from previous prime (60131033) and next prime (60131047).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60131047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4476 + ... + 11844.

It is an arithmetic number, because the mean of its divisors is an integer number (2089395).

Almost surely, 260131040 is an apocalyptic number.

60131040 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 60131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100290960).

60131040 is an abundant number, since it is smaller than the sum of its proper divisors (140450880).

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

60131040 is a wasteful number, since it uses less digits than its factorization.

60131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 60131040 is about 7754.4206746861. The cubic root of 60131040 is about 391.7715592508.

Adding to 60131040 its reverse (4013106), we get a palindrome (64144146).

The spelling of 60131040 in words is "sixty million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 7369 8160 14738 22107 29476 36845 44214 58952 73690 88428 110535 117904 125273 147380 176856 221070 235808 250546 294760 353712 375819 442140 501092 589520 626365 707424 751638 884280 1002184 1179040 1252730 1503276 1768560 1879095 2004368 2505460 3006552 3537120 3758190 4008736 5010920 6013104 7516380 10021840 12026208 15032760 20043680 30065520 60131040