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1160427264 = 28341137269
BaseRepresentation
bin100010100101010…
…1011011100000000
32222212112210221120
41011022223130000
54334032133024
6311051552240
740520316603
oct10512533400
92885483846
101160427264
115460381a7
1228475b680
1315654a269
14b018c33a
156bd20479
hex452ab700

1160427264 has 144 divisors (see below), whose sum is σ = 3198696480. Its totient is φ = 373227520.

The previous prime is 1160427251. The next prime is 1160427277. The reversal of 1160427264 is 4627240611.

It is an interprime number because it is at equal distance from previous prime (1160427251) and next prime (1160427277).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4313722 + ... + 4313990.

It is an arithmetic number, because the mean of its divisors is an integer number (22213170).

Almost surely, 21160427264 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 1160427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599348240).

1160427264 is an abundant number, since it is smaller than the sum of its proper divisors (2038269216).

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

1160427264 is a wasteful number, since it uses less digits than its factorization.

1160427264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

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

The square root of 1160427264 is about 34065.0446058713. The cubic root of 1160427264 is about 1050.8465626268.

Adding to 1160427264 its reverse (4627240611), we get a palindrome (5787667875).

The spelling of 1160427264 in words is "one billion, one hundred sixty million, four hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 137 164 192 246 256 269 274 328 384 411 492 538 548 656 768 807 822 984 1076 1096 1312 1614 1644 1968 2152 2192 2624 3228 3288 3936 4304 4384 5248 5617 6456 6576 7872 8608 8768 10496 11029 11234 12912 13152 15744 16851 17216 17536 22058 22468 25824 26304 31488 33087 33702 34432 35072 36853 44116 44936 51648 52608 66174 67404 68864 73706 88232 89872 103296 105216 110559 132348 134808 147412 176464 179744 206592 221118 264696 269616 294824 352928 359488 442236 529392 539232 589648 705856 718976 884472 1058784 1078464 1179296 1411712 1437952 1510973 1768944 2117568 2156928 2358592 2823424 3021946 3537888 4235136 4313856 4532919 4717184 6043892 7075776 8470272 9065838 9434368 12087784 14151552 18131676 24175568 28303104 36263352 48351136 72526704 96702272 145053408 193404544 290106816 386809088 580213632 1160427264