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2080517400 = 233552133789
BaseRepresentation
bin111110000000010…
…0010110100011000
312100222212020100000
41330000202310120
513230103024100
6542240413000
7102362051253
oct17400426430
95328766300
102080517400
11978441575
124a0917160
132720590b0
1415a45809a
15c29b9900
hex7c022d18

2080517400 has 576 divisors, whose sum is σ = 8104168800. Its totient is φ = 492687360.

The previous prime is 2080517399. The next prime is 2080517431. The reversal of 2080517400 is 47150802.

2080517400 is a `hidden beast` number, since 208 + 0 + 51 + 7 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23376556 + ... + 23376644.

Almost surely, 22080517400 is an apocalyptic number.

2080517400 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 2080517400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052084400).

2080517400 is an abundant number, since it is smaller than the sum of its proper divisors (6023651400).

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

2080517400 is a wasteful number, since it uses less digits than its factorization.

2080517400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2080517400 is about 45612.6890239986. The cubic root of 2080517400 is about 1276.6066941933.

The spelling of 2080517400 in words is "two billion, eighty million, five hundred seventeen thousand, four hundred".