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1052314065 = 335113122859
BaseRepresentation
bin111110101110010…
…000100111010001
32201100010002112000
4332232100213101
54123343022230
6252230424213
735035344015
oct7656204721
92640102460
101052314065
114a0005150
12254502069
1313a02595a
149da88545
15625b6b60
hex3eb909d1

1052314065 has 64 divisors (see below), whose sum is σ = 2106777600. Its totient is φ = 493732800.

The previous prime is 1052314063. The next prime is 1052314073. The reversal of 1052314065 is 5604132501.

It is not a de Polignac number, because 1052314065 - 21 = 1052314063 is a prime.

It is a super-2 number, since 2×10523140652 = 2214729782793648450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1052314061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34606 + ... + 57464.

It is an arithmetic number, because the mean of its divisors is an integer number (32918400).

Almost surely, 21052314065 is an apocalyptic number.

1052314065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1052314065 is an abundant number, since it is smaller than the sum of its proper divisors (1054463535).

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

1052314065 is a wasteful number, since it uses less digits than its factorization.

1052314065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22915 (or 22909 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1052314065 is about 32439.3906385431. The cubic root of 1052314065 is about 1017.1424779283.

Adding to 1052314065 its reverse (5604132501), we get a palindrome (6656446566).

The spelling of 1052314065 in words is "one billion, fifty-two million, three hundred fourteen thousand, sixty-five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 93 99 135 155 165 279 297 341 465 495 837 1023 1395 1485 1705 3069 4185 5115 9207 15345 22859 46035 68577 114295 205731 251449 342885 617193 708629 754347 1028655 1257245 2125887 2263041 3085965 3543145 3771735 6377661 6789123 7794919 10629435 11315205 19132983 23384757 31888305 33945615 38974595 70154271 95664915 116923785 210462813 350771355 1052314065