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6132002440 = 235299754497
BaseRepresentation
bin1011011010111111…
…01110111010001000
3120211100102222222111
411231133232322020
5100024243034230
62452250032104
7304646106064
oct55537567210
916740388874
106132002440
1126673a0213
121231718634
13769535b15
14422570aa4
1525d50e92a
hex16d7eee88

6132002440 has 64 divisors (see below), whose sum is σ = 14420170800. Its totient is φ = 2343763968.

The previous prime is 6132002413. The next prime is 6132002441. The reversal of 6132002440 is 442002316.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2140542756 + 3991459684 = 46266^2 + 63178^2 .

It is not an unprimeable number, because it can be changed into a prime (6132002441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85272 + ... + 139768.

Almost surely, 26132002440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6132002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210085400).

6132002440 is an abundant number, since it is smaller than the sum of its proper divisors (8288168360).

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

6132002440 is a wasteful number, since it uses less digits than its factorization.

6132002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54634 (or 54630 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 6132002440 is about 78307.1033814941. The cubic root of 6132002440 is about 1830.3498430365.

Adding to 6132002440 its reverse (442002316), we get a palindrome (6574004756).

The spelling of 6132002440 in words is "six billion, one hundred thirty-two million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 97 116 145 194 232 290 388 485 580 776 970 1160 1940 2813 3880 5626 11252 14065 22504 28130 54497 56260 108994 112520 217988 272485 435976 544970 1089940 1580413 2179880 3160826 5286209 6321652 7902065 10572418 12643304 15804130 21144836 26431045 31608260 42289672 52862090 63216520 105724180 153300061 211448360 306600122 613200244 766500305 1226400488 1533000610 3066001220 6132002440