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2087239680 = 21432519149
BaseRepresentation
bin111110001101000…
…1100000000000000
312101110111202120100
41330122030000000
513233313132210
6543040442400
7102503146611
oct17432140000
95343452510
102087239680
11981213079
124a3019400
13273570a86
1415b2c7c08
15c33965c0
hex7c68c000

2087239680 has 360 divisors, whose sum is σ = 7667478000. Its totient is φ = 523763712.

The previous prime is 2087239633. The next prime is 2087239697. The reversal of 2087239680 is 869327802.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14008246 + ... + 14008394.

It is an arithmetic number, because the mean of its divisors is an integer number (21298550).

Almost surely, 22087239680 is an apocalyptic number.

2087239680 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 2087239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833739000).

2087239680 is an abundant number, since it is smaller than the sum of its proper divisors (5580238320).

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

2087239680 is a wasteful number, since it uses less digits than its factorization.

2087239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2087239680 is about 45686.3183020913. The cubic root of 2087239680 is about 1277.9801476634.

The spelling of 2087239680 in words is "two billion, eighty-seven million, two hundred thirty-nine thousand, six hundred eighty".