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2690896320 = 2632571271051
BaseRepresentation
bin1010000001100011…
…1101000111000000
320221112101200210200
42200120331013000
521002332140240
61123003125200
7123453145530
oct24030750700
96845350720
102690896320
111160a39262
12631213800
1333b649b58
141b75434c0
1510b387930
hexa063d1c0

2690896320 has 336 divisors, whose sum is σ = 10671218688. Its totient is φ = 609638400.

The previous prime is 2690896301. The next prime is 2690896361. The reversal of 2690896320 is 236980962.

2690896320 is a `hidden beast` number, since 2 + 6 + 9 + 0 + 8 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2559795 + ... + 2560845.

Almost surely, 22690896320 is an apocalyptic number.

2690896320 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 2690896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335609344).

2690896320 is an abundant number, since it is smaller than the sum of its proper divisors (7980322368).

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

2690896320 is a wasteful number, since it uses less digits than its factorization.

2690896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2690896320 is about 51873.8500595435. The cubic root of 2690896320 is about 1390.9098678592.

The spelling of 2690896320 in words is "two billion, six hundred ninety million, eight hundred ninety-six thousand, three hundred twenty".