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2053307520 = 2732511231409
BaseRepresentation
bin111101001100010…
…1111110010000000
312022002122211101200
41322120233302000
513201121320040
6535425301200
7101611553205
oct17230576200
95262584350
102053307520
11964047370
12493794800
13269520084
141569b3cac
15c03e2630
hex7a62fc80

2053307520 has 384 divisors, whose sum is σ = 8076931200. Its totient is φ = 475791360.

The previous prime is 2053307483. The next prime is 2053307579. The reversal of 2053307520 is 257033502.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1456576 + ... + 1457984.

It is an arithmetic number, because the mean of its divisors is an integer number (21033675).

Almost surely, 22053307520 is an apocalyptic number.

2053307520 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 2053307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038465600).

2053307520 is an abundant number, since it is smaller than the sum of its proper divisors (6023623680).

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

2053307520 is a wasteful number, since it uses less digits than its factorization.

2053307520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 2053307520 is about 45313.4364179103. The cubic root of 2053307520 is about 1271.0169216761.

The spelling of 2053307520 in words is "two billion, fifty-three million, three hundred seven thousand, five hundred twenty".