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61399104 = 26313171447
BaseRepresentation
bin1110101000111…
…0000001000000
311021112101201220
43222032001000
5111204232404
610031555040
71343612064
oct352160100
9137471656
1061399104
1131727068
121868ba80
13c949a40
148223aa4
1555cc4d9
hex3a8e040

61399104 has 112 divisors (see below), whose sum is σ = 185367168. Its totient is φ = 17768448.

The previous prime is 61399103. The next prime is 61399111. The reversal of 61399104 is 40199316.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61399103) 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, 41709 + ... + 43155.

It is an arithmetic number, because the mean of its divisors is an integer number (1655064).

Almost surely, 261399104 is an apocalyptic number.

61399104 is a gapful number since it is divisible by the number (64) 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 61399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92683584).

61399104 is an abundant number, since it is smaller than the sum of its proper divisors (123968064).

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

61399104 is a wasteful number, since it uses less digits than its factorization.

61399104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 61399104 is about 7835.7580360805. The cubic root of 61399104 is about 394.5063619318.

The spelling of 61399104 in words is "sixty-one million, three hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1447 1632 1768 2496 2652 2894 3264 3536 4341 5304 5788 7072 8682 10608 11576 14144 17364 18811 21216 23152 24599 34728 37622 42432 46304 49198 56433 69456 73797 75244 92608 98396 112866 138912 147594 150488 196792 225732 277824 295188 300976 319787 393584 451464 590376 601952 639574 787168 902928 959361 1180752 1203904 1279148 1574336 1805856 1918722 2361504 2558296 3611712 3837444 4723008 5116592 7674888 10233184 15349776 20466368 30699552 61399104