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2132032320 = 263351122433
BaseRepresentation
bin111111100010100…
…0011101101000000
312111120210110112000
41333011003231000
513331300013240
6551320504000
7103555655445
oct17705035500
95446713460
102132032320
119a4527490
124b601b000
1327c924bb2
141632279cc
15c7293430
hex7f143b40

2132032320 has 224 divisors, whose sum is σ = 8205459840. Its totient is φ = 516833280.

The previous prime is 2132032307. The next prime is 2132032327. The reversal of 2132032320 is 232302312.

It is a happy number.

2132032320 is a `hidden beast` number, since 2 + 1 + 320 + 323 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2132032293 and 2132032302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132032327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83824 + ... + 106256.

Almost surely, 22132032320 is an apocalyptic number.

2132032320 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 2132032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102729920).

2132032320 is an abundant number, since it is smaller than the sum of its proper divisors (6073427520).

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

2132032320 is a wasteful number, since it uses less digits than its factorization.

2132032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22470 (or 22454 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2132032320 is about 46173.9355047845. The cubic root of 2132032320 is about 1287.0574357250.

Adding to 2132032320 its reverse (232302312), we get a palindrome (2364334632).

The spelling of 2132032320 in words is "two billion, one hundred thirty-two million, thirty-two thousand, three hundred twenty".