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12290796 = 223271719151
BaseRepresentation
bin101110111000…
…101011101100
3212010102210200
4232320223230
511121301141
61115233500
7206320140
oct56705354
925112720
1012290796
116a35291
124148890
13271447b
1418bd220
15112bab6
hexbb8aec

12290796 has 144 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 3110400.

The previous prime is 12290749. The next prime is 12290801. The reversal of 12290796 is 69709221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12290796.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81321 + ... + 81471.

It is an arithmetic number, because the mean of its divisors is an integer number (276640).

Almost surely, 212290796 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 12290796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

12290796 is an abundant number, since it is smaller than the sum of its proper divisors (27545364).

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

12290796 is a wasteful number, since it uses less digits than its factorization.

12290796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 12290796 is about 3505.8231558366. The cubic root of 12290796 is about 230.7774322213. Note that the first 3 decimals are identical.

The spelling of 12290796 in words is "twelve million, two hundred ninety thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 102 114 119 126 133 151 153 171 204 228 238 252 266 302 306 323 342 357 399 453 476 532 604 612 646 684 714 798 906 969 1057 1071 1197 1292 1359 1428 1596 1812 1938 2114 2142 2261 2394 2567 2718 2869 2907 3171 3876 4228 4284 4522 4788 5134 5436 5738 5814 6342 6783 7701 8607 9044 9513 10268 11476 11628 12684 13566 15402 17214 17969 19026 20083 20349 23103 25821 27132 30804 34428 35938 38052 40166 40698 46206 48773 51642 53907 60249 71876 80332 81396 92412 97546 103284 107814 120498 146319 161721 180747 195092 215628 240996 292638 323442 341411 361494 438957 585276 646884 682822 722988 877914 1024233 1365644 1755828 2048466 3072699 4096932 6145398 12290796