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2139413760 = 283251116883
BaseRepresentation
bin111111110000100…
…1101110100000000
312112002200110221200
41333201031310000
513340142220020
6552143021200
7104005500621
oct17741156400
95462613850
102139413760
119a8709250
124b859a800
1328130a903
141641c9a48
15c7c50590
hex7f84dd00

2139413760 has 216 divisors, whose sum is σ = 8075549664. Its totient is φ = 518615040.

The previous prime is 2139413713. The next prime is 2139413761. The reversal of 2139413760 is 673149312.

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 (2139413761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118279 + ... + 135161.

It is an arithmetic number, because the mean of its divisors is an integer number (37386804).

Almost surely, 22139413760 is an apocalyptic number.

2139413760 is a gapful number since it is divisible by the number (20) 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 2139413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037774832).

2139413760 is an abundant number, since it is smaller than the sum of its proper divisors (5936135904).

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

2139413760 is a wasteful number, since it uses less digits than its factorization.

2139413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16921 (or 16904 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2139413760 is about 46253.7972495232. The cubic root of 2139413760 is about 1288.5410583838.

The spelling of 2139413760 in words is "two billion, one hundred thirty-nine million, four hundred thirteen thousand, seven hundred sixty".