Search a number
-
+
104578920 = 23325290497
BaseRepresentation
bin1100011101110…
…11111101101000
321021210011022100
412032323331220
5203233011140
614213253400
72406622545
oct616737550
9237704270
10104578920
1154039766
122b034260
1318887a24
14dc63bcc
1592ab530
hex63bbf68

104578920 has 48 divisors (see below), whose sum is σ = 339882660. Its totient is φ = 27887616.

The previous prime is 104578919. The next prime is 104578933. The reversal of 104578920 is 29875401.

It can be written as a sum of positive squares in 2 ways, for example, as 104407524 + 171396 = 10218^2 + 414^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144889 + ... + 145608.

Almost surely, 2104578920 is an apocalyptic number.

104578920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104578920 is an abundant number, since it is smaller than the sum of its proper divisors (235303740).

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

104578920 is a wasteful number, since it uses less digits than its factorization.

104578920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290514 (or 290507 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 104578920 is about 10226.3835249809. The cubic root of 104578920 is about 471.1379097693.

The spelling of 104578920 in words is "one hundred four million, five hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 290497 580994 871491 1161988 1452485 1742982 2323976 2614473 2904970 3485964 4357455 5228946 5809940 6971928 8714910 10457892 11619880 13072365 17429820 20915784 26144730 34859640 52289460 104578920