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420622632 = 23343120939
BaseRepresentation
bin11001000100100…
…011000100101000
31002022110211210000
4121010203010220
51330134411012
6105423223000
713265143023
oct3104430450
91068424700
10420622632
111a6481011
12b8a47a60
13691b2241
143dc121ba
1526dd8ddc
hex19123128

420622632 has 80 divisors (see below), whose sum is σ = 1216195200. Its totient is φ = 135678240.

The previous prime is 420622621. The next prime is 420622639. The reversal of 420622632 is 236226024.

420622632 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 22 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 420622596 and 420622605.

It is not an unprimeable number, because it can be changed into a prime (420622639) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9619 + ... + 30557.

It is an arithmetic number, because the mean of its divisors is an integer number (15202440).

Almost surely, 2420622632 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 420622632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608097600).

420622632 is an abundant number, since it is smaller than the sum of its proper divisors (795572568).

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

420622632 is a wasteful number, since it uses less digits than its factorization.

420622632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20988 (or 20975 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 420622632 is about 20509.0865715663. The cubic root of 420622632 is about 749.2571204162.

Adding to 420622632 its reverse (236226024), we get a palindrome (656848656).

The spelling of 420622632 in words is "four hundred twenty million, six hundred twenty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 6696 10044 20088 20939 41878 62817 83756 125634 167512 188451 251268 376902 502536 565353 649109 753804 1130706 1298218 1507608 1696059 1947327 2261412 2596436 3392118 3894654 4522824 5192872 5841981 6784236 7789308 11683962 13568472 15578616 17525943 23367924 35051886 46735848 52577829 70103772 105155658 140207544 210311316 420622632