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906992640 = 2103115
BaseRepresentation
bin110110000011111…
…001110000000000
32100012200000000000
4312003321300000
53324142231030
6230000000000
731322211261
oct6603716000
92305600000
10906992640
11425a78aa4
12213900000
13115ba4448
148865a968
155495d860
hex360f9c00

906992640 has 264 divisors, whose sum is σ = 3263573040. Its totient is φ = 241864704.

The previous prime is 906992633. The next prime is 906992677. The reversal of 906992640 is 46299609.

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 23 ways as a sum of consecutive naturals, for example, 181398526 + ... + 181398530.

Almost surely, 2906992640 is an apocalyptic number.

906992640 is a gapful number since it is divisible by the number (90) 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 906992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631786520).

906992640 is an abundant number, since it is smaller than the sum of its proper divisors (2356580400).

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

906992640 is an frugal number, since it uses more digits than its factorization.

906992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 906992640 is about 30116.3185001089. The cubic root of 906992640 is about 967.9834252563.

It can be divided in two parts, 90699 and 2640, that added together give a palindrome (93339).

The spelling of 906992640 in words is "nine hundred six million, nine hundred ninety-two thousand, six hundred forty".