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1002499680 = 253571359389
BaseRepresentation
bin111011110000001…
…110111001100000
32120212101021000210
4323300032321200
54023114442210
6243251014120
733562051410
oct7360167140
92525337023
101002499680
11474980936
1223b89a340
1312c903ba0
14971dc640
155d026e20
hex3bc0ee60

1002499680 has 384 divisors, whose sum is σ = 3962649600. Its totient is φ = 207396864.

The previous prime is 1002499661. The next prime is 1002499691. The reversal of 1002499680 is 869942001.

1002499680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2576926 + ... + 2577314.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 21002499680 is an apocalyptic number.

1002499680 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 1002499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

1002499680 is an abundant number, since it is smaller than the sum of its proper divisors (2960149920).

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

1002499680 is a wasteful number, since it uses less digits than its factorization.

1002499680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1002499680 is about 31662.2753446432. The cubic root of 1002499680 is about 1000.8325333625.

The spelling of 1002499680 in words is "one billion, two million, four hundred ninety-nine thousand, six hundred eighty".