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12722424 = 23311213337
BaseRepresentation
bin110000100010…
…000011111000
3212221100212220
4300202003320
511224104144
61132404040
7213065421
oct60420370
925840786
1012722424
1171aa600
124316620
132835a80
141992648
1511b4919
hexc220f8

12722424 has 96 divisors (see below), whose sum is σ = 37761360. Its totient is φ = 3548160.

The previous prime is 12722417. The next prime is 12722447. The reversal of 12722424 is 42422721.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

12722424 is a modest number, since divided by 2424 gives 1272 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 12722394 and 12722403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37584 + ... + 37920.

Almost surely, 212722424 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 12722424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18880680).

12722424 is an abundant number, since it is smaller than the sum of its proper divisors (25038936).

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

12722424 is a wasteful number, since it uses less digits than its factorization.

12722424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 12722424 is about 3566.8507117624. The cubic root of 12722424 is about 233.4478911396.

The spelling of 12722424 in words is "twelve million, seven hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 121 132 143 156 242 264 286 312 337 363 429 484 572 674 726 858 968 1011 1144 1348 1452 1573 1716 2022 2696 2904 3146 3432 3707 4044 4381 4719 6292 7414 8088 8762 9438 11121 12584 13143 14828 17524 18876 22242 26286 29656 35048 37752 40777 44484 48191 52572 81554 88968 96382 105144 122331 144573 163108 192764 244662 289146 326216 385528 489324 530101 578292 978648 1060202 1156584 1590303 2120404 3180606 4240808 6361212 12722424