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1168374240 = 2533511231069
BaseRepresentation
bin100010110100011…
…1111100111100000
310000102111120011000
41011220333213200
54343100433430
6311534152000
740645005615
oct10550774740
93012446130
101168374240
1154a575950
12287352600
131580a0507
14b125a50c
156c88ee60
hex45a3f9e0

1168374240 has 384 divisors, whose sum is σ = 4659379200. Its totient is φ = 270673920.

The previous prime is 1168374211. The next prime is 1168374247. The reversal of 1168374240 is 424738611.

1168374240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1168374195 and 1168374204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1168374247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092426 + ... + 1093494.

It is an arithmetic number, because the mean of its divisors is an integer number (12133800).

Almost surely, 21168374240 is an apocalyptic number.

1168374240 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 1168374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329689600).

1168374240 is an abundant number, since it is smaller than the sum of its proper divisors (3491004960).

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

1168374240 is a wasteful number, since it uses less digits than its factorization.

1168374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1168374240 is about 34181.4897276289. The cubic root of 1168374240 is about 1053.2399514859.

The spelling of 1168374240 in words is "one billion, one hundred sixty-eight million, three hundred seventy-four thousand, two hundred forty".