Search a number
-
+
1009842192 = 24327012793
BaseRepresentation
bin111100001100001…
…111100000010000
32121101012022001200
4330030033200100
54032004422232
6244112231200
734011342222
oct7414174020
92541168050
101009842192
11479036427
1224223b500
131312a4c78
1498190412
155d9c777c
hex3c30f810

1009842192 has 30 divisors (see below), whose sum is σ = 2826155982. Its totient is φ = 336614016.

The previous prime is 1009842173. The next prime is 1009842193. The reversal of 1009842192 is 2912489001.

It can be written as a sum of positive squares in only one way, i.e., 891380736 + 118461456 = 29856^2 + 10884^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1009842193) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3506253 + ... + 3506540.

Almost surely, 21009842192 is an apocalyptic number.

1009842192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1009842192 is an abundant number, since it is smaller than the sum of its proper divisors (1816313790).

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

1009842192 is a wasteful number, since it uses less digits than its factorization.

1009842192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7012807 (or 7012798 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1009842192 is about 31778.0142866102. The cubic root of 1009842192 is about 1003.2700259415.

The spelling of 1009842192 in words is "one billion, nine million, eight hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7012793 14025586 21038379 28051172 42076758 56102344 63115137 84153516 112204688 126230274 168307032 252460548 336614064 504921096 1009842192