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1068255072 = 25328394421
BaseRepresentation
bin111111101011000…
…100011101100000
32202110002222110200
4333223010131200
54141433130242
6254000225200
735321006163
oct7753043540
92673088420
101068255072
114a9002935
1225990b200
131404176c1
14a1c37ada
1563bb504c
hex3fac4760

1068255072 has 72 divisors (see below), whose sum is σ = 3042159120. Its totient is φ = 355580160.

The previous prime is 1068255059. The next prime is 1068255077. The reversal of 1068255072 is 2705528601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10682550722 = 2282337797707450368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068255077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239422 + ... + 243842.

It is an arithmetic number, because the mean of its divisors is an integer number (42252210).

Almost surely, 21068255072 is an apocalyptic number.

1068255072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1068255072 is an abundant number, since it is smaller than the sum of its proper divisors (1973904048).

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

1068255072 is a wasteful number, since it uses less digits than its factorization.

1068255072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1068255072 is about 32684.1715819753. The cubic root of 1068255072 is about 1022.2528291473.

The spelling of 1068255072 in words is "one billion, sixty-eight million, two hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 839 1678 2517 3356 4421 5034 6712 7551 8842 10068 13263 13424 15102 17684 20136 26526 26848 30204 35368 39789 40272 53052 60408 70736 79578 80544 106104 120816 141472 159156 212208 241632 318312 424416 636624 1273248 3709219 7418438 11127657 14836876 22255314 29673752 33382971 44510628 59347504 66765942 89021256 118695008 133531884 178042512 267063768 356085024 534127536 1068255072