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1299019680 = 2536573743
BaseRepresentation
bin100110101101101…
…0111011110100000
310100112100001000000
41031123113132200
510130022112210
6332522300000
744122325250
oct11533273640
93315301000
101299019680
11607298792
12303057600
131791839ca
14c4747960
1579099ac0
hex4d6d77a0

1299019680 has 672 divisors, whose sum is σ = 5526347904. Its totient is φ = 282175488.

The previous prime is 1299019679. The next prime is 1299019781. The reversal of 1299019680 is 869109921.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 30209739 + ... + 30209781.

It is an arithmetic number, because the mean of its divisors is an integer number (8223732).

Almost surely, 21299019680 is an apocalyptic number.

1299019680 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 1299019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763173952).

1299019680 is an abundant number, since it is smaller than the sum of its proper divisors (4227328224).

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

1299019680 is an equidigital number, since it uses as much as digits as its factorization.

1299019680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 1299019680 is about 36041.9155983696. The cubic root of 1299019680 is about 1091.1184770811.

The spelling of 1299019680 in words is "one billion, two hundred ninety-nine million, nineteen thousand, six hundred eighty".