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1157399100 = 223252111317232
BaseRepresentation
bin100010011111100…
…1000001000111100
32222122211222002100
41010333020020330
54332243232400
6310503025100
740452505254
oct10477101074
92878758070
101157399100
1154435a090
1228373b190
13155a29b50
14ada00964
156b923100
hex44fc823c

1157399100 has 648 divisors, whose sum is σ = 4717479312. Its totient is φ = 233164800.

The previous prime is 1157399099. The next prime is 1157399101. The reversal of 1157399100 is 19937511.

It is an interprime number because it is at equal distance from previous prime (1157399099) and next prime (1157399101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157399101) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 50321689 + ... + 50321711.

Almost surely, 21157399100 is an apocalyptic number.

1157399100 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 1157399100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358739656).

1157399100 is an abundant number, since it is smaller than the sum of its proper divisors (3560080212).

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

1157399100 is a wasteful number, since it uses less digits than its factorization.

1157399100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 36.

The square root of 1157399100 is about 34020.5687783141. The cubic root of 1157399100 is about 1049.9316962371.

The spelling of 1157399100 in words is "one billion, one hundred fifty-seven million, three hundred ninety-nine thousand, one hundred".