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420302124 = 2232114324683
BaseRepresentation
bin11001000011010…
…100110100101100
31002021212120010100
4121003110310230
51330044131444
6105412311100
713262336424
oct3103246454
91067776110
10420302124
111a6282230
12b8912490
13690cc3a8
143db6b484
1526d73e69
hex190d4d2c

420302124 has 72 divisors (see below), whose sum is σ = 1186016832. Its totient is φ = 124397280.

The previous prime is 420302119. The next prime is 420302131. The reversal of 420302124 is 421203024.

420302124 is a `hidden beast` number, since 420 + 30 + 212 + 4 = 666.

It is a super-2 number, since 2×4203021242 = 353307750877822752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 420302097 and 420302106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4687 + ... + 29369.

It is an arithmetic number, because the mean of its divisors is an integer number (16472456).

Almost surely, 2420302124 is an apocalyptic number.

420302124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420302124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593008416).

420302124 is an abundant number, since it is smaller than the sum of its proper divisors (765714708).

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

420302124 is a wasteful number, since it uses less digits than its factorization.

420302124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24747 (or 24742 counting only the distinct ones).

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

The square root of 420302124 is about 20501.2712776550. The cubic root of 420302124 is about 749.0667645772.

Adding to 420302124 its reverse (421203024), we get a palindrome (841505148).

The spelling of 420302124 in words is "four hundred twenty million, three hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 4257 5676 8514 17028 24683 49366 74049 98732 148098 222147 271513 296196 444294 543026 814539 888588 1061369 1086052 1629078 2122738 2443617 3184107 3258156 4245476 4887234 6368214 9552321 9774468 11675059 12736428 19104642 23350118 35025177 38209284 46700236 70050354 105075531 140100708 210151062 420302124