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18029466 = 2347131223
BaseRepresentation
bin100010011000…
…1101110011010
31020220222210000
41010301232122
514103420331
61442233430
7306151020
oct104615632
936828700
1018029466
11a1a4894
126055876
133973530
142574710
1518b20e6
hex1131b9a

18029466 has 80 divisors (see below), whose sum is σ = 49762944. Its totient is φ = 4751136.

The previous prime is 18029441. The next prime is 18029477. The reversal of 18029466 is 66492081.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 18029466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14131 + ... + 15353.

Almost surely, 218029466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18029466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24881472).

18029466 is an abundant number, since it is smaller than the sum of its proper divisors (31733478).

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

18029466 is a wasteful number, since it uses less digits than its factorization.

18029466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 18029466 is about 4246.1118685216. Note that the first 3 decimals coincide. The cubic root of 18029466 is about 262.2170665807.

It can be divided in two parts, 180 and 29466, that added together give a triangular number (29646 = T243).

The spelling of 18029466 in words is "eighteen million, twenty-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 819 1053 1134 1223 1638 2106 2446 2457 3669 4914 7338 7371 8561 11007 14742 15899 17122 22014 25683 31798 33021 47697 51366 66042 77049 95394 99063 111293 143091 154098 198126 222586 231147 286182 333879 429273 462294 667758 693441 858546 1001637 1287819 1386882 2003274 2575638 3004911 6009822 9014733 18029466