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69930336 = 2537195477
BaseRepresentation
bin1000010101100…
…00110101100000
311212120211101110
410022300311200
5120400232321
610534503320
71506253350
oct412606540
9155524343
1069930336
1136523773
121b504b40
1311645bc8
149404b60
156215176
hex42b0d60

69930336 has 96 divisors (see below), whose sum is σ = 220872960. Its totient is φ = 18925056.

The previous prime is 69930283. The next prime is 69930337. The reversal of 69930336 is 63303996.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 69930294 and 69930303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69930337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10030 + ... + 15506.

It is an arithmetic number, because the mean of its divisors is an integer number (2300760).

Almost surely, 269930336 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 69930336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110436480).

69930336 is an abundant number, since it is smaller than the sum of its proper divisors (150942624).

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

69930336 is a wasteful number, since it uses less digits than its factorization.

69930336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 39.

The square root of 69930336 is about 8362.4360087238. The cubic root of 69930336 is about 411.9917678312.

The spelling of 69930336 in words is "sixty-nine million, nine hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 5477 6384 10954 12768 16431 21908 32862 38339 43816 65724 76678 87632 104063 115017 131448 153356 175264 208126 230034 262896 306712 312189 416252 460068 525792 613424 624378 728441 832504 920136 1226848 1248756 1456882 1665008 1840272 2185323 2497512 2913764 3330016 3680544 4370646 4995024 5827528 8741292 9990048 11655056 17482584 23310112 34965168 69930336