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1087714496 = 261131132
BaseRepresentation
bin100000011010101…
…0011010011000000
32210210201121210002
41000311103103000
54211423330441
6255533255132
735645264201
oct10065232300
92723647702
101087714496
11508a94000
122643344a8
1314446ba5b
14a46615a8
156575ab9b
hex40d534c0

1087714496 has 84 divisors (see below), whose sum is σ = 2395310424. Its totient is φ = 490040320.

The previous prime is 1087714469. The next prime is 1087714547. The reversal of 1087714496 is 6944177801.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a self number, because there is not a number n which added to its sum of digits gives 1087714496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9625736 + ... + 9625848.

Almost surely, 21087714496 is an apocalyptic number.

1087714496 is a gapful number since it is divisible by the number (16) 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 1087714496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197655212).

1087714496 is an abundant number, since it is smaller than the sum of its proper divisors (1307595928).

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

1087714496 is an frugal number, since it uses more digits than its factorization.

1087714496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 1087714496 is about 32980.5169152941. The cubic root of 1087714496 is about 1028.4226637876.

The spelling of 1087714496 in words is "one billion, eighty-seven million, seven hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 121 176 226 242 352 452 484 704 904 968 1243 1331 1808 1936 2486 2662 3616 3872 4972 5324 7232 7744 9944 10648 12769 13673 19888 21296 25538 27346 39776 42592 51076 54692 79552 85184 102152 109384 140459 150403 204304 218768 280918 300806 408608 437536 561836 601612 817216 875072 1123672 1203224 1545049 2247344 2406448 3090098 4494688 4812896 6180196 8989376 9625792 12360392 16995539 24720784 33991078 49441568 67982156 98883136 135964312 271928624 543857248 1087714496