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769418136 = 233341283307
BaseRepresentation
bin101101110111000…
…110001110011000
31222121210111021000
4231313012032120
53033432340021
6204203145000
725031642364
oct5567061630
91877714230
10769418136
11365353263
12195815160
13c3536106
14742882a4
1547835b26
hex2ddc6398

769418136 has 128 divisors (see below), whose sum is σ = 2204294400. Its totient is φ = 248520960.

The previous prime is 769418123. The next prime is 769418141. The reversal of 769418136 is 631814967.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 769418091 and 769418100.

It is a congruent number.

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, 2506095 + ... + 2506401.

It is an arithmetic number, because the mean of its divisors is an integer number (17221050).

Almost surely, 2769418136 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 769418136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102147200).

769418136 is an abundant number, since it is smaller than the sum of its proper divisors (1434876264).

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

769418136 is a wasteful number, since it uses less digits than its factorization.

769418136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 769418136 is about 27738.3874080668. The cubic root of 769418136 is about 916.3347142877.

The spelling of 769418136 in words is "seven hundred sixty-nine million, four hundred eighteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 283 307 328 369 492 566 614 738 849 921 984 1107 1132 1228 1476 1698 1842 2214 2264 2456 2547 2763 2952 3396 3684 4428 5094 5526 6792 7368 7641 8289 8856 10188 11052 11603 12587 15282 16578 20376 22104 23206 25174 30564 33156 34809 37761 46412 50348 61128 66312 69618 75522 86881 92824 100696 104427 113283 139236 151044 173762 208854 226566 260643 278472 302088 313281 339849 347524 417708 453132 521286 626562 679698 695048 781929 835416 906264 1042572 1253124 1359396 1563858 2085144 2345787 2506248 2718792 3127716 3562121 4691574 6255432 7124242 9383148 10686363 14248484 18766296 21372726 28496968 32059089 42745452 64118178 85490904 96177267 128236356 192354534 256472712 384709068 769418136