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6072340640 = 255331114659
BaseRepresentation
bin1011010011111000…
…01001000010100000
3120200012011212101012
411221330021002200
544414004400030
62442315200052
7303323021012
oct55174110240
916605155335
106072340640
112636750443
121215746028
1375a076a92
144186801b2
15258177095
hex169f090a0

6072340640 has 48 divisors (see below), whose sum is σ = 14389371360. Its totient is φ = 2421576960.

The previous prime is 6072340613. The next prime is 6072340649. The reversal of 6072340640 is 460432706.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 6072340597 and 6072340606.

It is not an unprimeable number, because it can be changed into a prime (6072340649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4370 + ... + 110289.

It is an arithmetic number, because the mean of its divisors is an integer number (299778570).

Almost surely, 26072340640 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 6072340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194685680).

6072340640 is an abundant number, since it is smaller than the sum of its proper divisors (8317030720).

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

6072340640 is a wasteful number, since it uses less digits than its factorization.

6072340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115005 (or 114997 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 6072340640 is about 77925.2246708343. The cubic root of 6072340640 is about 1824.3943085409.

The spelling of 6072340640 in words is "six billion, seventy-two million, three hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 331 662 1324 1655 2648 3310 5296 6620 10592 13240 26480 52960 114659 229318 458636 573295 917272 1146590 1834544 2293180 3669088 4586360 9172720 18345440 37952129 75904258 151808516 189760645 303617032 379521290 607234064 759042580 1214468128 1518085160 3036170320 6072340640