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2040132000 = 25353197863
BaseRepresentation
bin111100110011001…
…1111000110100000
312021011212102222110
41321212133012200
513134233211000
6534235035320
7101361556464
oct17146370640
95234772873
102040132000
11957668405
1248b29bb40
13266888cca
14154d444a4
15be18d850
hex7999f1a0

2040132000 has 192 divisors, whose sum is σ = 6725182464. Its totient is φ = 540646400.

The previous prime is 2040131987. The next prime is 2040132013. The reversal of 2040132000 is 2310402.

It is an interprime number because it is at equal distance from previous prime (2040131987) and next prime (2040132013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2363569 + ... + 2364431.

It is an arithmetic number, because the mean of its divisors is an integer number (35026992).

Almost surely, 22040132000 is an apocalyptic number.

2040132000 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 2040132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362591232).

2040132000 is an abundant number, since it is smaller than the sum of its proper divisors (4685050464).

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

2040132000 is a wasteful number, since it uses less digits than its factorization.

2040132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2040132000 is about 45167.8204034687. The cubic root of 2040132000 is about 1268.2924952254.

Adding to 2040132000 its reverse (2310402), we get a palindrome (2042442402).

The spelling of 2040132000 in words is "two billion, forty million, one hundred thirty-two thousand".