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1299217920 = 2935711133
BaseRepresentation
bin100110101110000…
…0111111000000000
310100112201002221020
41031130013320000
510130044433140
6332530425440
744124112230
oct11534077000
93315632836
101299217920
11607413720
12303132280
13179223000
14c4799cc0
15790d86d0
hex4d707e00

1299217920 has 640 divisors, whose sum is σ = 5609640960. Its totient is φ = 249200640.

The previous prime is 1299217897. The next prime is 1299217921. The reversal of 1299217920 is 297129921.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1299217921) 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 63 ways as a sum of consecutive naturals, for example, 99939834 + ... + 99939846.

It is an arithmetic number, because the mean of its divisors is an integer number (8765064).

Almost surely, 21299217920 is an apocalyptic number.

1299217920 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 1299217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804820480).

1299217920 is an abundant number, since it is smaller than the sum of its proper divisors (4310423040).

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

1299217920 is an equidigital number, since it uses as much as digits as its factorization.

1299217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 1299217920 is about 36044.6656247495. The cubic root of 1299217920 is about 1091.1739785048.

The spelling of 1299217920 in words is "one billion, two hundred ninety-nine million, two hundred seventeen thousand, nine hundred twenty".