Search a number
-
+
104660840340 = 223457173183211
BaseRepresentation
bin110000101111001000…
…1011010111110010100
3101000010222211120020000
41201132101122332110
53203321133342330
6120025221011300
710363410315210
oct1413621327624
9330128746200
10104660840340
1140428352471
121834a853b30
139b3c30c334
1450cc077940
152ac84e9560
hex185e45af94

104660840340 has 960 divisors, whose sum is σ = 417025179648. Its totient is φ = 21424435200.

The previous prime is 104660840327. The next prime is 104660840359. The reversal of 104660840340 is 43048066401.

104660840340 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 608 + 4 + 0 + 3 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 104660840295 and 104660840304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 496022835 + ... + 496023045.

Almost surely, 2104660840340 is an apocalyptic number.

104660840340 is a gapful number since it is divisible by the number (10) 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 104660840340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208512589824).

104660840340 is an abundant number, since it is smaller than the sum of its proper divisors (312364339308).

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

104660840340 is a wasteful number, since it uses less digits than its factorization.

104660840340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 104660840340 in words is "one hundred four billion, six hundred sixty million, eight hundred forty thousand, three hundred forty".