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1299979296 = 253271131261
BaseRepresentation
bin100110101111100…
…0001110000100000
310100121010210100100
41031133001300200
510130243314141
6332555022400
744133433050
oct11537016040
93317123310
101299979296
11607893760
1230343aa00
1317942b725
14c4917560
15791d90b6
hex4d7c1c20

1299979296 has 432 divisors, whose sum is σ = 4840565184. Its totient is φ = 321408000.

The previous prime is 1299979271. The next prime is 1299979309. The reversal of 1299979296 is 6929799921.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 21311106 + ... + 21311166.

It is an arithmetic number, because the mean of its divisors is an integer number (11205012).

Almost surely, 21299979296 is an apocalyptic number.

1299979296 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 1299979296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420282592).

1299979296 is an abundant number, since it is smaller than the sum of its proper divisors (3540585888).

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

1299979296 is a wasteful number, since it uses less digits than its factorization.

1299979296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 115 counting only the distinct ones).

The product of its digits is 9920232, while the sum is 63.

The square root of 1299979296 is about 36055.2256406752. The cubic root of 1299979296 is about 1091.3870891334.

The spelling of 1299979296 in words is "one billion, two hundred ninety-nine million, nine hundred seventy-nine thousand, two hundred ninety-six".