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1939657104 = 243571121931
BaseRepresentation
bin111001110011100…
…1101000110010000
312000011210210100000
41303213031012100
512433023011404
6520245330000
766031545660
oct16347150620
95004723300
101939657104
11905982100
12461706900
1324bb0a2c8
1414586c1a0
15b5443339
hex739cd190

1939657104 has 720 divisors, whose sum is σ = 7683952640. Its totient is φ = 461894400.

The previous prime is 1939657103. The next prime is 1939657121. The reversal of 1939657104 is 4017569391.

It is a self number, because there is not a number n which added to its sum of digits gives 1939657104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1939657103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62569569 + ... + 62569599.

Almost surely, 21939657104 is an apocalyptic number.

1939657104 is a gapful number since it is divisible by the number (14) 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 1939657104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841976320).

1939657104 is an abundant number, since it is smaller than the sum of its proper divisors (5744295536).

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

1939657104 is a wasteful number, since it uses less digits than its factorization.

1939657104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1939657104 is about 44041.5383927492. The cubic root of 1939657104 is about 1247.1202194394.

The spelling of 1939657104 in words is "one billion, nine hundred thirty-nine million, six hundred fifty-seven thousand, one hundred four".