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420636630 = 23519412439
BaseRepresentation
bin11001000100100…
…110011111010110
31002022111112222110
4121010212133112
51330140333010
6105423411450
713265231601
oct3104463726
91068445873
10420636630
111a6490587
12b8a53b86
13691b871b
143dc17338
1526ddd120
hex191267d6

420636630 has 96 divisors (see below), whose sum is σ = 1091692800. Its totient is φ = 103438080.

The previous prime is 420636617. The next prime is 420636641. The reversal of 420636630 is 36636024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957951 + ... + 958389.

It is an arithmetic number, because the mean of its divisors is an integer number (11371800).

Almost surely, 2420636630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420636630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545846400).

420636630 is an abundant number, since it is smaller than the sum of its proper divisors (671056170).

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

420636630 is a wasteful number, since it uses less digits than its factorization.

420636630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 420636630 is about 20509.4278320971. The cubic root of 420636630 is about 749.2654318923.

The spelling of 420636630 in words is "four hundred twenty million, six hundred thirty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 41 57 82 95 114 123 190 205 246 285 410 439 570 615 779 878 1230 1317 1558 1681 2195 2337 2634 3362 3895 4390 4674 5043 6585 7790 8341 8405 10086 11685 13170 16682 16810 17999 23370 25023 25215 31939 35998 41705 50046 50430 53997 63878 83410 89995 95817 107994 125115 159695 179990 191634 250230 269985 319390 341981 479085 539970 683962 737959 958170 1025943 1475918 1709905 2051886 2213877 3419810 3689795 4427754 5129715 7379590 10259430 11069385 14021221 22138770 28042442 42063663 70106105 84127326 140212210 210318315 420636630