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1320670008 = 23357374361
BaseRepresentation
bin100111010110111…
…1101001100111000
310102001001222200000
41032231331030320
510201042420013
6335014313000
744504336610
oct11655751470
93361058600
101320670008
11618535a19
1230a358760
131807c4358
14c7581a40
157ae24973
hex4eb7d338

1320670008 has 384 divisors, whose sum is σ = 4528043520. Its totient is φ = 352719360.

The previous prime is 1320669979. The next prime is 1320670033. The reversal of 1320670008 is 8000760231.

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 95 ways as a sum of consecutive naturals, for example, 21650298 + ... + 21650358.

It is an arithmetic number, because the mean of its divisors is an integer number (11791780).

Almost surely, 21320670008 is an apocalyptic number.

1320670008 is a gapful number since it is divisible by the number (18) 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 1320670008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264021760).

1320670008 is an abundant number, since it is smaller than the sum of its proper divisors (3207373512).

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

1320670008 is a wasteful number, since it uses less digits than its factorization.

1320670008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1320670008 is about 36341.0237610335. The cubic root of 1320670008 is about 1097.1468782986.

The spelling of 1320670008 in words is "one billion, three hundred twenty million, six hundred seventy thousand, eight".