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69132816 = 24321972437
BaseRepresentation
bin1000001111011…
…10001000010000
311211002022101200
410013232020100
5120144222231
610505431200
71466422254
oct407561020
9154068350
1069132816
1136029565
121b19b500
1311426bbc
149278264
156108be6
hex41ee210

69132816 has 60 divisors (see below), whose sum is σ = 194537772. Its totient is φ = 22917888.

The previous prime is 69132737. The next prime is 69132841. The reversal of 69132816 is 61823196.

It can be written as a sum of positive squares in 2 ways, for example, as 66585600 + 2547216 = 8160^2 + 1596^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27150 + ... + 29586.

Almost surely, 269132816 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 69132816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97268886).

69132816 is an abundant number, since it is smaller than the sum of its proper divisors (125404956).

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

69132816 is a wasteful number, since it uses less digits than its factorization.

69132816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2639 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 69132816 is about 8314.6146032152. The cubic root of 69132816 is about 410.4195902781.

The spelling of 69132816 in words is "sixty-nine million, one hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 2437 3152 3546 4728 4874 7092 7311 9456 9748 14184 14622 19496 21933 28368 29244 38992 43866 58488 87732 116976 175464 350928 480089 960178 1440267 1920356 2880534 3840712 4320801 5761068 7681424 8641602 11522136 17283204 23044272 34566408 69132816