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6132080640 = 2133577129
BaseRepresentation
bin1011011011000000…
…00010000000000000
3120211100120222020210
411231200002000000
5100024303040030
62452251434120
7304646553060
oct55540020000
916740528223
106132080640
112667443a44
121231755940
137695625aa
144225913a0
1525d527bb0
hex16d802000

6132080640 has 224 divisors, whose sum is σ = 22427671680. Its totient is φ = 1401421824.

The previous prime is 6132080639. The next prime is 6132080657. The reversal of 6132080640 is 460802316.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6132080598 and 6132080607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856596 + ... + 863724.

Almost surely, 26132080640 is an apocalyptic number.

6132080640 is a gapful number since it is divisible by the number (60) 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 6132080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11213835840).

6132080640 is an abundant number, since it is smaller than the sum of its proper divisors (16295591040).

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

6132080640 is an equidigital number, since it uses as much as digits as its factorization.

6132080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7170 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6132080640 is about 78307.6026960346. The cubic root of 6132080640 is about 1830.3576236787.

Adding to 6132080640 its reverse (460802316), we get a palindrome (6592882956).

The spelling of 6132080640 in words is "six billion, one hundred thirty-two million, eighty thousand, six hundred forty".