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1139883840 = 26355107137
BaseRepresentation
bin100001111110001…
…0011111101000000
32221102220002200000
41003330103331000
54313302240330
6305035400000
740150565334
oct10374237500
92842802600
101139883840
11535486667
122798b3000
131522066a4
14ab5617c4
156a113560
hex43f13f40

1139883840 has 336 divisors, whose sum is σ = 4133892672. Its totient is φ = 298930176.

The previous prime is 1139883821. The next prime is 1139883859. The reversal of 1139883840 is 483889311.

It is an interprime number because it is at equal distance from previous prime (1139883821) and next prime (1139883859).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8320252 + ... + 8320388.

It is an arithmetic number, because the mean of its divisors is an integer number (12303252).

Almost surely, 21139883840 is an apocalyptic number.

1139883840 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 1139883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066946336).

1139883840 is an abundant number, since it is smaller than the sum of its proper divisors (2994008832).

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

1139883840 is a wasteful number, since it uses less digits than its factorization.

1139883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1139883840 is about 33762.1658073057. The cubic root of 1139883840 is about 1044.6084443778.

The spelling of 1139883840 in words is "one billion, one hundred thirty-nine million, eight hundred eighty-three thousand, eight hundred forty".