Search a number
-
+
104861556 = 223215718553
BaseRepresentation
bin1100100000000…
…00111101110100
321022022112000100
412100000331310
5203321032211
614223314100
72412210552
oct620007564
9238275010
10104861556
1154212048
122b14b930
1318956577
14dcd8bd2
159315156
hex6400f74

104861556 has 36 divisors (see below), whose sum is σ = 266769412. Its totient is φ = 34729344.

The previous prime is 104861527. The next prime is 104861567. The reversal of 104861556 is 655168401.

104861556 is a `hidden beast` number, since 1 + 0 + 48 + 61 + 556 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17139600 + 87721956 = 4140^2 + 9366^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1048615562 = 21991891853482272, which contains 22 as substring.

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 104861556.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3625 + ... + 14928.

Almost surely, 2104861556 is an apocalyptic number.

It is an amenable number.

104861556 is an abundant number, since it is smaller than the sum of its proper divisors (161907856).

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

104861556 is a wasteful number, since it uses less digits than its factorization.

104861556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18720 (or 18715 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 104861556 is about 10240.1931622406. The cubic root of 104861556 is about 471.5619619388.

The spelling of 104861556 in words is "one hundred four million, eight hundred sixty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 18553 37106 55659 74212 111318 166977 222636 333954 667908 2912821 5825642 8738463 11651284 17476926 26215389 34953852 52430778 104861556