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2039324040 = 233551316139
BaseRepresentation
bin111100110001101…
…1001110110001000
312021010100101200000
41321203121312020
513134031332130
6534205443000
7101351653065
oct17143316610
95233311600
102039324040
11957166376
1248ab70460
13266665320
14154bb3c6c
15be07e260
hex798d9d88

2039324040 has 192 divisors, whose sum is σ = 7402449600. Its totient is φ = 501956352.

The previous prime is 2039324039. The next prime is 2039324059. The reversal of 2039324040 is 404239302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2039323995 and 2039324013.

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, 118291 + ... + 134429.

It is an arithmetic number, because the mean of its divisors is an integer number (38554425).

Almost surely, 22039324040 is an apocalyptic number.

2039324040 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 2039324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701224800).

2039324040 is an abundant number, since it is smaller than the sum of its proper divisors (5363125560).

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

2039324040 is a wasteful number, since it uses less digits than its factorization.

2039324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16178 (or 16162 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2039324040 is about 45158.8755395880. The cubic root of 2039324040 is about 1268.1250444738.

The spelling of 2039324040 in words is "two billion, thirty-nine million, three hundred twenty-four thousand, forty".