Search a number
-
+
1912430520 = 23335711132961
BaseRepresentation
bin111000111111101…
…0101111110111000
311221021120112111000
41301333111332320
512404040234040
6513434005000
765251251120
oct16177257670
94837515430
101912430520
118a15763a0
12454576760
132462967c0
14141dc1c80
15b2d66130
hex71fd5fb8

1912430520 has 1024 divisors, whose sum is σ = 8999424000. Its totient is φ = 348364800.

The previous prime is 1912430497. The next prime is 1912430573. The reversal of 1912430520 is 250342191.

1912430520 is a `hidden beast` number, since 1 + 91 + 24 + 30 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31351290 + ... + 31351350.

It is an arithmetic number, because the mean of its divisors is an integer number (8788500).

Almost surely, 21912430520 is an apocalyptic number.

1912430520 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 1912430520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712000).

1912430520 is an abundant number, since it is smaller than the sum of its proper divisors (7086993480).

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

1912430520 is a wasteful number, since it uses less digits than its factorization.

1912430520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1912430520 is about 43731.3448226784. The cubic root of 1912430520 is about 1241.2575085571.

The spelling of 1912430520 in words is "one billion, nine hundred twelve million, four hundred thirty thousand, five hundred twenty".