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609794640 = 2432571341227
BaseRepresentation
bin100100010110001…
…011101001010000
31120111102202222200
4210112023221100
52222101412030
6140302003200
721053111640
oct4426135120
91514382880
10609794640
11293238814
12150276500
1399447b40
145adb6520
1538804d60
hex2458ba50

609794640 has 480 divisors, whose sum is σ = 2593334016. Its totient is φ = 124968960.

The previous prime is 609794617. The next prime is 609794659. The reversal of 609794640 is 46497906.

609794640 = T85 + T86 + ... + T1540.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2686207 + ... + 2686433.

Almost surely, 2609794640 is an apocalyptic number.

609794640 is a gapful number since it is divisible by the number (60) 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 609794640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296667008).

609794640 is an abundant number, since it is smaller than the sum of its proper divisors (1983539376).

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

609794640 is a wasteful number, since it uses less digits than its factorization.

609794640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 609794640 is about 24694.0203288164. The cubic root of 609794640 is about 847.9974264192.

The spelling of 609794640 in words is "six hundred nine million, seven hundred ninety-four thousand, six hundred forty".