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2139346080 = 25345383431
BaseRepresentation
bin111111110000011…
…1101010010100000
312112002120001010000
41333200331102200
513340133033310
6552141340000
7104005066404
oct17740752240
95462501100
102139346080
119a8672413
124b8567600
132812b5b71
141641ad104
15c7c3a4c0
hex7f83d4a0

2139346080 has 240 divisors, whose sum is σ = 7587385344. Its totient is φ = 567682560.

The previous prime is 2139346073. The next prime is 2139346129. The reversal of 2139346080 is 806439312.

2139346080 is a `hidden beast` number, since 2 + 13 + 9 + 34 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21393460802 = 9153603300022732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4963465 + ... + 4963895.

It is a vampire number, since it can be written as 3103268940 (with its own digits).

Almost surely, 22139346080 is an apocalyptic number.

2139346080 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 2139346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793692672).

2139346080 is an abundant number, since it is smaller than the sum of its proper divisors (5448039264).

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

2139346080 is a wasteful number, since it uses less digits than its factorization.

2139346080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2139346080 is about 46253.0656281289. The cubic root of 2139346080 is about 1288.5274706461.

The spelling of 2139346080 in words is "two billion, one hundred thirty-nine million, three hundred forty-six thousand, eighty".