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532680000 = 2635423193
BaseRepresentation
bin11111110000000…
…000110101000000
31101010022221120220
4133300000311000
52042331230000
6124505103040
716125463626
oct3760006500
91333287526
10532680000
11253758406
1212a487a80
1386487b88
1450a61516
1531b711a0
hex1fc00d40

532680000 has 280 divisors, whose sum is σ = 1847258688. Its totient is φ = 135168000.

The previous prime is 532679993. The next prime is 532680019. The reversal of 532680000 is 86235.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2759904 + ... + 2760096.

Almost surely, 2532680000 is an apocalyptic number.

532680000 is a gapful number since it is divisible by the number (50) 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 532680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923629344).

532680000 is an abundant number, since it is smaller than the sum of its proper divisors (1314578688).

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

532680000 is a wasteful number, since it uses less digits than its factorization.

532680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 532680000 is about 23079.8613514033. The cubic root of 532680000 is about 810.6289886593.

The spelling of 532680000 in words is "five hundred thirty-two million, six hundred eighty thousand".