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1240831872 = 2735741139
BaseRepresentation
bin100100111110101…
…1001011110000000
310012110211210100000
41021331121132000
510020123104442
6323043200000
742514616430
oct11175313600
93173753300
101240831872
11587465395
122a7676000
1316a0bc857
14bab1c2c0
1573e03d4c
hex49f59780

1240831872 has 384 divisors, whose sum is σ = 4366252800. Its totient is φ = 343388160.

The previous prime is 1240831861. The next prime is 1240831873. The reversal of 1240831872 is 2781380421.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240831873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8926779 + ... + 8926917.

It is an arithmetic number, because the mean of its divisors is an integer number (11370450).

Almost surely, 21240831872 is an apocalyptic number.

1240831872 is a gapful number since it is divisible by the number (12) 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 1240831872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183126400).

1240831872 is an abundant number, since it is smaller than the sum of its proper divisors (3125420928).

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

1240831872 is an equidigital number, since it uses as much as digits as its factorization.

1240831872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1240831872 is about 35225.4435316292. The cubic root of 1240831872 is about 1074.5772621582.

The spelling of 1240831872 in words is "one billion, two hundred forty million, eight hundred thirty-one thousand, eight hundred seventy-two".