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69939768 = 233173741113
BaseRepresentation
bin1000010101100…
…11001000111000
311212121022022210
410022303020320
5120401033033
610535015120
71506323013
oct412631070
9155538283
1069939768
113652a868
121b50a4a0
131164a2a2
14940837a
156217d63
hex42b3238

69939768 has 128 divisors (see below), whose sum is σ = 196499520. Its totient is φ = 20643840.

The previous prime is 69939761. The next prime is 69939787. The reversal of 69939768 is 86793996.

It is a Cunningham number, because it is equal to 83632-1.

It is a super-2 number, since 2×699397682 = 9783142295787648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69939761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618880 + ... + 618992.

Almost surely, 269939768 is an apocalyptic number.

69939768 is a gapful number since it is divisible by the number (68) 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 69939768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98249760).

69939768 is an abundant number, since it is smaller than the sum of its proper divisors (126559752).

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

69939768 is a wasteful number, since it uses less digits than its factorization.

69939768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 57.

The square root of 69939768 is about 8362.9999402128. Note that the first 4 decimals coincide. The cubic root of 69939768 is about 412.0102897484.

It can be divided in two parts, 69939 and 768, that added together give a palindrome (70707).

The spelling of 69939768 in words is "sixty-nine million, nine hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 41 51 68 74 82 102 111 113 123 136 148 164 204 222 226 246 296 328 339 408 444 452 492 629 678 697 888 904 984 1258 1356 1394 1517 1887 1921 2091 2516 2712 2788 3034 3774 3842 4181 4182 4551 4633 5032 5576 5763 6068 7548 7684 8362 8364 9102 9266 11526 12136 12543 13899 15096 15368 16724 16728 18204 18532 23052 25086 25789 27798 33448 36408 37064 46104 50172 51578 55596 71077 77367 78761 100344 103156 111192 142154 154734 157522 171421 206312 213231 236283 284308 309468 315044 342842 426462 472566 514263 568616 618936 630088 685684 852924 945132 1028526 1371368 1705848 1890264 2057052 2914157 4114104 5828314 8742471 11656628 17484942 23313256 34969884 69939768