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12432042 = 234719577
BaseRepresentation
bin101111011011…
…001010101010
3212101121120000
4233123022222
511140311132
61122243430
7210446010
oct57331252
925347500
1012432042
117021417
1241b6576
13276384c
1419188b0
15115887c
hexbdb2aa

12432042 has 80 divisors (see below), whose sum is σ = 33570240. Its totient is φ = 3359232.

The previous prime is 12432011. The next prime is 12432053. The reversal of 12432042 is 24023421.

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

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, 21258 + ... + 21834.

It is an arithmetic number, because the mean of its divisors is an integer number (419628).

Almost surely, 212432042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12432042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16785120).

12432042 is an abundant number, since it is smaller than the sum of its proper divisors (21138198).

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

12432042 is a wasteful number, since it uses less digits than its factorization.

12432042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12432042 is about 3525.9100952804. The cubic root of 12432042 is about 231.6580997355.

Adding to 12432042 its reverse (24023421), we get a palindrome (36455463).

The spelling of 12432042 in words is "twelve million, four hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 577 798 1026 1134 1154 1197 1539 1731 2394 3078 3462 3591 4039 5193 7182 8078 10386 10773 10963 12117 15579 21546 21926 24234 31158 32889 36351 46737 65778 72702 76741 93474 98667 109053 153482 197334 218106 230223 296001 327159 460446 592002 654318 690669 888003 1381338 1776006 2072007 4144014 6216021 12432042