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69000516 = 223213612417
BaseRepresentation
bin1000001110011…
…01110101000100
311210211120220200
410013031311010
5120131004031
610502530500
71465331454
oct407156504
9153746820
1069000516
1135a49122
121b136a30
13113ab910
149241d64
1560ce8e6
hex41cdd44

69000516 has 72 divisors (see below), whose sum is σ = 190992984. Its totient is φ = 20874240.

The previous prime is 69000511. The next prime is 69000521. The reversal of 69000516 is 61500096.

69000516 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (69000511) and next prime (69000521).

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 66096900 = 1704^2 + 8130^2 .

It is a super-2 number, since 2×690005162 = 9522142416532512, which contains 22 as substring.

69000516 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 69000516.

It is not an unprimeable number, because it can be changed into a prime (69000511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27340 + ... + 29756.

Almost surely, 269000516 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 69000516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95496492).

69000516 is an abundant number, since it is smaller than the sum of its proper divisors (121992468).

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

69000516 is a wasteful number, since it uses less digits than its factorization.

69000516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 69000516 is about 8306.6549224101. The cubic root of 69000516 is about 410.1576153870.

The spelling of 69000516 in words is "sixty-nine million, five hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 549 732 793 1098 1586 2196 2379 2417 3172 4758 4834 7137 7251 9516 9668 14274 14502 21753 28548 29004 31421 43506 62842 87012 94263 125684 147437 188526 282789 294874 377052 442311 565578 589748 884622 1131156 1326933 1769244 1916681 2653866 3833362 5307732 5750043 7666724 11500086 17250129 23000172 34500258 69000516