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61366536 = 233271111069
BaseRepresentation
bin1110101000011…
…0000100001000
311021110202001200
43222012010020
5111202212121
610031144200
71343415120
oct352060410
9137422050
1061366536
1131704650
1218675060
13c937c7a
148215c80
1555c2a26
hex3a86108

61366536 has 96 divisors (see below), whose sum is σ = 207230400. Its totient is φ = 15937920.

The previous prime is 61366519. The next prime is 61366541. The reversal of 61366536 is 63566316.

It is a happy number.

61366536 is a `hidden beast` number, since 61 + 3 + 66 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61366536.

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, 10 + ... + 11078.

It is an arithmetic number, because the mean of its divisors is an integer number (2158650).

Almost surely, 261366536 is an apocalyptic number.

61366536 is a gapful number since it is divisible by the number (66) 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 61366536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103615200).

61366536 is an abundant number, since it is smaller than the sum of its proper divisors (145863864).

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

61366536 is a wasteful number, since it uses less digits than its factorization.

61366536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11099 (or 11092 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 61366536 is about 7833.6795951839. The cubic root of 61366536 is about 394.4365967683.

The spelling of 61366536 in words is "sixty-one million, three hundred sixty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 11069 22138 33207 44276 66414 77483 88552 99621 121759 132828 154966 199242 232449 243518 265656 309932 365277 398484 464898 487036 619864 697347 730554 796968 852313 929796 974072 1095831 1394694 1461108 1704626 1859592 2191662 2556939 2789388 2922216 3409252 4383324 5113878 5578776 6818504 7670817 8766648 10227756 15341634 20455512 30683268 61366536