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61125660 = 223251961293
BaseRepresentation
bin1110100100101…
…1010000011100
311021000111122100
43221023100130
5111122010120
610022045100
71341362631
oct351132034
9137014570
1061125660
113155a682
1218579790
13c88243b
148192188
155576490
hex3a4b41c

61125660 has 144 divisors (see below), whose sum is σ = 199049760. Its totient is φ = 15137280.

The previous prime is 61125637. The next prime is 61125703. The reversal of 61125660 is 6652116.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208474 + ... + 208766.

It is an arithmetic number, because the mean of its divisors is an integer number (1382290).

Almost surely, 261125660 is an apocalyptic number.

61125660 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 61125660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99524880).

61125660 is an abundant number, since it is smaller than the sum of its proper divisors (137924100).

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

61125660 is a wasteful number, since it uses less digits than its factorization.

61125660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61125660 is about 7818.2900943876. The cubic root of 61125660 is about 393.9198390520.

Adding to 61125660 its reverse (6652116), we get a palindrome (67777776).

The spelling of 61125660 in words is "sixty-one million, one hundred twenty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 61 76 90 95 114 122 171 180 183 190 228 244 285 293 305 342 366 380 549 570 586 610 684 732 855 879 915 1098 1140 1159 1172 1220 1465 1710 1758 1830 2196 2318 2637 2745 2930 3420 3477 3516 3660 4395 4636 5274 5490 5567 5795 5860 6954 8790 10431 10548 10980 11134 11590 13185 13908 16701 17385 17580 17873 20862 22268 23180 26370 27835 33402 34770 35746 41724 50103 52155 52740 53619 55670 66804 69540 71492 83505 89365 100206 104310 107238 111340 160857 167010 178730 200412 208620 214476 250515 268095 321714 334020 339587 357460 501030 536190 643428 679174 804285 1002060 1018761 1072380 1358348 1608570 1697935 2037522 3056283 3217140 3395870 4075044 5093805 6112566 6791740 10187610 12225132 15281415 20375220 30562830 61125660