Search a number
-
+
4294710920 = 235293702337
BaseRepresentation
bin1111111111111100…
…0001011010001000
3102002022020220211102
43333333001122020
532243421222140
61550054320532
7211266304043
oct37777013210
912068226742
104294710920
111904285975
129ba359148
135359b9c86
142ca54bc5a
151a208be15
hexfffc1688

4294710920 has 32 divisors (see below), whose sum is σ = 9996312600. Its totient is φ = 1658646528.

The previous prime is 4294710907. The next prime is 4294710967. The reversal of 4294710920 is 290174924.

It can be written as a sum of positive squares in 4 ways, for example, as 4003599076 + 291111844 = 63274^2 + 17062^2 .

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 7 ways as a sum of consecutive naturals, for example, 1850009 + ... + 1852328.

Almost surely, 24294710920 is an apocalyptic number.

4294710920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4294710920 is an abundant number, since it is smaller than the sum of its proper divisors (5701601680).

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

4294710920 is a wasteful number, since it uses less digits than its factorization.

4294710920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702377 (or 3702373 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 4294710920 is about 65534.0439771574. The cubic root of 4294710920 is about 1625.4663333804.

The spelling of 4294710920 in words is "four billion, two hundred ninety-four million, seven hundred ten thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 3702337 7404674 14809348 18511685 29618696 37023370 74046740 107367773 148093480 214735546 429471092 536838865 858942184 1073677730 2147355460 4294710920