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1240873920 = 26325111323131
BaseRepresentation
bin100100111110110…
…0011101111000000
310012110220221000100
41021331203233000
510020130431140
6323044122400
742515153136
oct11175435700
93173827010
101240873920
11587493a40
122a7696400
1316a105a30
14bab2d756
1573e11530
hex49f63bc0

1240873920 has 672 divisors, whose sum is σ = 5272210944. Its totient is φ = 263577600.

The previous prime is 1240873913. The next prime is 1240873939. The reversal of 1240873920 is 293780421.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9472255 + ... + 9472385.

It is an arithmetic number, because the mean of its divisors is an integer number (7845552).

Almost surely, 21240873920 is an apocalyptic number.

1240873920 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 1240873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636105472).

1240873920 is an abundant number, since it is smaller than the sum of its proper divisors (4031337024).

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

1240873920 is a wasteful number, since it uses less digits than its factorization.

1240873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1240873920 is about 35226.0403678869. The cubic root of 1240873920 is about 1074.5894000675.

The spelling of 1240873920 in words is "one billion, two hundred forty million, eight hundred seventy-three thousand, nine hundred twenty".