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1196990080 = 275112132941
BaseRepresentation
bin100011101011000…
…1001111010000000
310002102100101200221
41013112021322000
54422412140310
6314435352424
741443150666
oct10726117200
93072311627
101196990080
11564740400
12294a52714
13160cac470
14b4d88c36
1570143ada
hex47589e80

1196990080 has 384 divisors, whose sum is σ = 3589563600. Its totient is φ = 378470400.

The previous prime is 1196990057. The next prime is 1196990083. The reversal of 1196990080 is 800996911.

It can be written as a sum of positive squares in 8 ways, for example, as 72863296 + 1124126784 = 8536^2 + 33528^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1196990083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29194860 + ... + 29194900.

Almost surely, 21196990080 is an apocalyptic number.

1196990080 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 1196990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794781800).

1196990080 is an abundant number, since it is smaller than the sum of its proper divisors (2392573520).

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

1196990080 is a wasteful number, since it uses less digits than its factorization.

1196990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The square root of 1196990080 is about 34597.5444215337. The cubic root of 1196990080 is about 1061.7693482776.

The spelling of 1196990080 in words is "one billion, one hundred ninety-six million, nine hundred ninety thousand, eighty".