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1157161980 = 2235137989211
BaseRepresentation
bin100010011111000…
…1110001111111100
32222122101220211010
41010332032033330
54332213140410
6310453555220
740450500042
oct10476161774
92878356733
101157161980
11544207a17
12283645b10
13155975c40
14ad97c392
156b8c7c20
hex44f8e3fc

1157161980 has 192 divisors, whose sum is σ = 3590092800. Its totient is φ = 276756480.

The previous prime is 1157161969. The next prime is 1157161981. The reversal of 1157161980 is 891617511.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157161981) 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, 5484075 + ... + 5484285.

It is an arithmetic number, because the mean of its divisors is an integer number (18698400).

Almost surely, 21157161980 is an apocalyptic number.

1157161980 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 1157161980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795046400).

1157161980 is an abundant number, since it is smaller than the sum of its proper divisors (2432930820).

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

1157161980 is a wasteful number, since it uses less digits than its factorization.

1157161980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 39.

The square root of 1157161980 is about 34017.0836492489. The cubic root of 1157161980 is about 1049.8599904019.

The spelling of 1157161980 in words is "one billion, one hundred fifty-seven million, one hundred sixty-one thousand, nine hundred eighty".