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69666696 = 233311109269
BaseRepresentation
bin1000010011100…
…00011110001000
311212002102202000
410021300132020
5120313313241
610525111000
71504104621
oct411603610
9155072660
1069666696
1136363690
121b3b8460
1311582bc8
149376a48
1561b1eb6
hex4270788

69666696 has 128 divisors (see below), whose sum is σ = 213840000. Its totient is φ = 20839680.

The previous prime is 69666679. The next prime is 69666713.

69666696 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (69666679) and next prime (69666713).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 258850 + ... + 259118.

It is an arithmetic number, because the mean of its divisors is an integer number (1670625).

Almost surely, 269666696 is an apocalyptic number.

69666696 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69666696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106920000).

69666696 is an abundant number, since it is smaller than the sum of its proper divisors (144173304).

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

69666696 is a wasteful number, since it uses less digits than its factorization.

69666696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 69666696 is about 8346.6577742232. The cubic root of 69666696 is about 411.4733743372.

The spelling of 69666696 in words is "sixty-nine million, six hundred sixty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 109 132 198 216 218 264 269 297 327 396 436 538 594 654 792 807 872 981 1076 1188 1199 1308 1614 1962 2152 2376 2398 2421 2616 2943 2959 3228 3597 3924 4796 4842 5886 5918 6456 7194 7263 7848 8877 9592 9684 10791 11772 11836 14388 14526 17754 19368 21582 23544 23672 26631 28776 29052 29321 32373 35508 43164 53262 58104 58642 64746 71016 79893 86328 87963 106524 117284 129492 159786 175926 213048 234568 258984 263889 319572 322531 351852 527778 639144 645062 703704 791667 967593 1055556 1290124 1583334 1935186 2111112 2580248 2902779 3166668 3870372 5805558 6333336 7740744 8708337 11611116 17416674 23222232 34833348 69666696