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1163120640 = 21235111721
BaseRepresentation
bin100010101010011…
…1101000000000000
310000001121122120020
41011110331000000
54340224330030
6311225413440
740552235163
oct10524750000
93001548506
101163120640
11547607830
1228563a280
13156c81186
14b068dada
156c1a3510
hex4553d000

1163120640 has 208 divisors, whose sum is σ = 4062211776. Its totient is φ = 281804800.

The previous prime is 1163120627. The next prime is 1163120657. The reversal of 1163120640 is 460213611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1163120640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674980 + ... + 676700.

Almost surely, 21163120640 is an apocalyptic number.

1163120640 is a gapful number since it is divisible by the number (10) 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 1163120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031105888).

1163120640 is an abundant number, since it is smaller than the sum of its proper divisors (2899091136).

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

1163120640 is a wasteful number, since it uses less digits than its factorization.

1163120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1163120640 is about 34104.5545345486. The cubic root of 1163120640 is about 1051.6589467290.

The spelling of 1163120640 in words is "one billion, one hundred sixty-three million, one hundred twenty thousand, six hundred forty".