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2139303936 = 212372111719
BaseRepresentation
bin111111110000011…
…0011000000000000
312112002110220022010
41333200303000000
513340130211221
6552140412520
7104004532500
oct17740630000
95462426263
102139303936
119a8643790
124b8547140
1328129c923
1416419ba00
15c7c2cc76
hex7f833000

2139303936 has 624 divisors, whose sum is σ = 8067807360. Its totient is φ = 495452160.

The previous prime is 2139303847. The next prime is 2139303937. The reversal of 2139303936 is 6393039312.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2139303894 and 2139303903.

It is not an unprimeable number, because it can be changed into a prime (2139303937) 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, 112594935 + ... + 112594953.

Almost surely, 22139303936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139303936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033903680).

2139303936 is an abundant number, since it is smaller than the sum of its proper divisors (5928503424).

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

2139303936 is a wasteful number, since it uses less digits than its factorization.

2139303936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 39.

The square root of 2139303936 is about 46252.6100452720. The cubic root of 2139303936 is about 1288.5190094846.

The spelling of 2139303936 in words is "two billion, one hundred thirty-nine million, three hundred three thousand, nine hundred thirty-six".