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61129860 = 223511234027
BaseRepresentation
bin1110100100110…
…0010010000100
311021000201101220
43221030102010
5111122123420
610022120340
71341411111
oct351142204
9137021356
1061129860
1131562850
12185800b0
13c88431c
148193908
155577840
hex3a4c484

61129860 has 96 divisors (see below), whose sum is σ = 194890752. Its totient is φ = 14171520.

The previous prime is 61129853. The next prime is 61129877. The reversal of 61129860 is 6892116.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13167 + ... + 17193.

It is an arithmetic number, because the mean of its divisors is an integer number (2030112).

Almost surely, 261129860 is an apocalyptic number.

61129860 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 61129860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97445376).

61129860 is an abundant number, since it is smaller than the sum of its proper divisors (133760892).

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

61129860 is a wasteful number, since it uses less digits than its factorization.

61129860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 61129860 is about 7818.5586907051. The cubic root of 61129860 is about 393.9288610429.

It can be divided in two parts, 61 and 129860, that added together give a palindrome (129921).

The spelling of 61129860 in words is "sixty-one million, one hundred twenty-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 4027 5060 7590 8054 12081 15180 16108 20135 24162 40270 44297 48324 60405 80540 88594 92621 120810 132891 177188 185242 221485 241620 265782 277863 370484 442970 463105 531564 555726 664455 885940 926210 1018831 1111452 1328910 1389315 1852420 2037662 2657820 2778630 3056493 4075324 5094155 5557260 6112986 10188310 12225972 15282465 20376620 30564930 61129860