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420244132 = 227112235393
BaseRepresentation
bin11001000011000…
…110101010100100
31002021202121120111
4121003012222210
51330040303012
6105411142404
713262005360
oct3103065244
91067677514
10420244132
111a6242700
12b88a4a04
13690abb89
143db542a0
1526d61ba7
hex190c6aa4

420244132 has 72 divisors (see below), whose sum is σ = 964188288. Its totient is φ = 156583680.

The previous prime is 420244127. The next prime is 420244151. The reversal of 420244132 is 231442024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 75228 + ... + 80620.

It is an arithmetic number, because the mean of its divisors is an integer number (13391504).

Almost surely, 2420244132 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 420244132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482094144).

420244132 is an abundant number, since it is smaller than the sum of its proper divisors (543944156).

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

420244132 is a wasteful number, since it uses less digits than its factorization.

420244132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 420244132 is about 20499.8568775492. The cubic root of 420244132 is about 749.0323116798.

Adding to 420244132 its reverse (231442024), we get a palindrome (651686156).

The spelling of 420244132 in words is "four hundred twenty million, two hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 121 154 161 242 253 308 322 484 506 644 847 1012 1694 1771 2783 3388 3542 5393 5566 7084 10786 11132 19481 21572 37751 38962 59323 75502 77924 118646 124039 151004 237292 248078 415261 496156 652553 830522 868273 1305106 1364429 1661044 1736546 2610212 2728858 3473092 4567871 5457716 9135742 9551003 15008719 18271484 19102006 30017438 38204012 60034876 105061033 210122066 420244132