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6240768 = 29317239
BaseRepresentation
bin10111110011101000000000
3102202001201120
4113303220000
53044201033
6341432240
7104021442
oct27635000
912661646
106240768
113582866
12210b680
1313a6781
14b86492
158341b3
hex5f3a00

6240768 has 80 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 1949696.

The previous prime is 6240757. The next prime is 6240791. The reversal of 6240768 is 8670426.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25993 + ... + 26231.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 26240768 is an apocalyptic number.

6240768 is a gapful number since it is divisible by the number (68) 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 6240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

6240768 is an abundant number, since it is smaller than the sum of its proper divisors (11436672).

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

6240768 is a wasteful number, since it uses less digits than its factorization.

6240768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 6240768 is about 2498.1529176574. The cubic root of 6240768 is about 184.1108342956.

The spelling of 6240768 in words is "six million, two hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 239 256 272 384 408 478 512 544 717 768 816 956 1088 1434 1536 1632 1912 2176 2868 3264 3824 4063 4352 5736 6528 7648 8126 8704 11472 12189 13056 15296 16252 22944 24378 26112 30592 32504 45888 48756 61184 65008 91776 97512 122368 130016 183552 195024 260032 367104 390048 520064 780096 1040128 1560192 2080256 3120384 6240768