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2682087320 = 2351110160353
BaseRepresentation
bin1001111111011101…
…0110011110011000
320220220211011010102
42133313112132120
520443103243240
61122050234532
7123315236363
oct23767263630
96826734112
102682087320
111156a719a0
1262a285a48
13339884423
141b62cd0da
1510a6e7815
hex9fdd6798

2682087320 has 64 divisors (see below), whose sum is σ = 6648596640. Its totient is φ = 965632000.

The previous prime is 2682087311. The next prime is 2682087341. The reversal of 2682087320 is 237802862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14264 + ... + 74616.

Almost surely, 22682087320 is an apocalyptic number.

2682087320 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 2682087320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324298320).

2682087320 is an abundant number, since it is smaller than the sum of its proper divisors (3966509320).

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

2682087320 is a wasteful number, since it uses less digits than its factorization.

2682087320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60476 (or 60472 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 2682087320 is about 51788.8725499986. The cubic root of 2682087320 is about 1389.3904336862.

The spelling of 2682087320 in words is "two billion, six hundred eighty-two million, eighty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 60353 120706 241412 301765 482824 603530 663883 1207060 1327766 2414120 2655532 3319415 5311064 6095653 6638830 12191306 13277660 24382612 26555320 30478265 48765224 60956530 67052183 121913060 134104366 243826120 268208732 335260915 536417464 670521830 1341043660 2682087320