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1330099680 = 253571337823
BaseRepresentation
bin100111101000111…
…1011010111100000
310102200211001202010
41033101323113200
510211001142210
6335552352520
744650442430
oct11721732740
93380731663
101330099680
11622896638
12311545740
13182746440
14c89182c0
157bb88920
hex4f47b5e0

1330099680 has 384 divisors, whose sum is σ = 5302499328. Its totient is φ = 272719872.

The previous prime is 1330099679. The next prime is 1330099691. The reversal of 1330099680 is 869900331.

It is a super-2 number, since 2×13300996802 = 3538330317472204800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615749 + ... + 1616571.

It is an arithmetic number, because the mean of its divisors is an integer number (13808592).

Almost surely, 21330099680 is an apocalyptic number.

1330099680 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 1330099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651249664).

1330099680 is an abundant number, since it is smaller than the sum of its proper divisors (3972399648).

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

1330099680 is a wasteful number, since it uses less digits than its factorization.

1330099680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 1330099680 is about 36470.5316659903. The cubic root of 1330099680 is about 1099.7519220177.

The spelling of 1330099680 in words is "one billion, three hundred thirty million, ninety-nine thousand, six hundred eighty".