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1068560416 = 25711479227
BaseRepresentation
bin111111101100001…
…111000000100000
32202110200111022201
4333230033000200
54142022413131
6254010542544
735323420330
oct7754170040
92673614281
101068560416
114a91a1290
12259a37a54
131404c3691
14a1cb70c0
1563c25761
hex3fb0f020

1068560416 has 96 divisors (see below), whose sum is σ = 2678925312. Its totient is φ = 407420160.

The previous prime is 1068560413. The next prime is 1068560417. The reversal of 1068560416 is 6140658601.

It is a super-2 number, since 2×10685604162 = 2283642725284186112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068560413) 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, 111195 + ... + 120421.

It is an arithmetic number, because the mean of its divisors is an integer number (27905472).

Almost surely, 21068560416 is an apocalyptic number.

1068560416 is a gapful number since it is divisible by the number (16) 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 1068560416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339462656).

1068560416 is an abundant number, since it is smaller than the sum of its proper divisors (1610364896).

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

1068560416 is a wasteful number, since it uses less digits than its factorization.

1068560416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1068560416 is about 32688.8423777900. The cubic root of 1068560416 is about 1022.3502181950.

The spelling of 1068560416 in words is "one billion, sixty-eight million, five hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 77 88 94 112 154 176 188 224 308 329 352 376 517 616 658 752 1034 1232 1316 1504 2068 2464 2632 3619 4136 5264 7238 8272 9227 10528 14476 16544 18454 28952 36908 57904 64589 73816 101497 115808 129178 147632 202994 258356 295264 405988 433669 516712 710479 811976 867338 1033424 1420958 1623952 1734676 2066848 2841916 3035683 3247904 3469352 4770359 5683832 6071366 6938704 9540718 11367664 12142732 13877408 19081436 22735328 24285464 33392513 38162872 48570928 66785026 76325744 97141856 133570052 152651488 267140104 534280208 1068560416