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12414402 = 23271113253
BaseRepresentation
bin101111010110…
…110111000010
3212100201100200
4233112313002
511134230102
61122030030
7210343410
oct57266702
925321320
1012414402
11700a140
1241a8316
132758800
1419122b0
15115351c
hexbd6dc2

12414402 has 144 divisors (see below), whose sum is σ = 36998208. Its totient is φ = 2920320.

The previous prime is 12414383. The next prime is 12414433. The reversal of 12414402 is 20441421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234208 + ... + 234260.

It is an arithmetic number, because the mean of its divisors is an integer number (256932).

Almost surely, 212414402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12414402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18499104).

12414402 is an abundant number, since it is smaller than the sum of its proper divisors (24583806).

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

12414402 is a wasteful number, since it uses less digits than its factorization.

12414402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 12414402 is about 3523.4077254840. The cubic root of 12414402 is about 231.5484802223.

Adding to 12414402 its reverse (20441421), we get a palindrome (32855823).

It can be divided in two parts, 12 and 414402, that added together give a palindrome (414414).

The spelling of 12414402 in words is "twelve million, four hundred fourteen thousand, four hundred two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 53 63 66 77 78 91 99 106 117 126 143 154 159 169 182 198 231 234 273 286 318 338 371 429 462 477 507 546 583 689 693 742 819 858 954 1001 1014 1113 1166 1183 1287 1378 1386 1521 1638 1749 1859 2002 2067 2226 2366 2574 3003 3042 3339 3498 3549 3718 4081 4134 4823 5247 5577 6006 6201 6678 7098 7579 8162 8957 9009 9646 10494 10647 11154 12243 12402 13013 14469 15158 16731 17914 18018 21294 22737 24486 26026 26871 28938 33462 36729 39039 43407 45474 53053 53742 62699 68211 73458 78078 80613 86814 98527 106106 117117 125398 136422 159159 161226 188097 197054 234234 295581 318318 376194 477477 564291 591162 689689 886743 954954 1128582 1379378 1773486 2069067 4138134 6207201 12414402