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1160989680 = 2435193143191
BaseRepresentation
bin100010100110011…
…0100101111110000
32222220121101102210
41011030310233300
54334203132210
6311112012120
740525151364
oct10514645760
92886541383
101160989680
11546391804
12284991040
131566b6256
14b02972a4
156bdd1e20
hex45334bf0

1160989680 has 320 divisors, whose sum is σ = 4022599680. Its totient is φ = 275788800.

The previous prime is 1160989667. The next prime is 1160989693. The reversal of 1160989680 is 869890611.

It is an interprime number because it is at equal distance from previous prime (1160989667) and next prime (1160989693).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6078385 + ... + 6078575.

It is an arithmetic number, because the mean of its divisors is an integer number (12570624).

Almost surely, 21160989680 is an apocalyptic number.

1160989680 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 1160989680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011299840).

1160989680 is an abundant number, since it is smaller than the sum of its proper divisors (2861610000).

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

1160989680 is a wasteful number, since it uses less digits than its factorization.

1160989680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 1160989680 is about 34073.2986369092. The cubic root of 1160989680 is about 1051.0163039752.

The spelling of 1160989680 in words is "one billion, one hundred sixty million, nine hundred eighty-nine thousand, six hundred eighty".