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422606640 = 243513712853
BaseRepresentation
bin11001001100000…
…111011100110000
31002110012122022210
4121030013130300
51331141403030
6105533532120
713321045221
oct3114073460
91073178283
10422606640
111a7606695
12b9644040
1369728301
14401ab248
152717bbb0
hex19307730

422606640 has 80 divisors (see below), whose sum is σ = 1319745888. Its totient is φ = 111863808.

The previous prime is 422606633. The next prime is 422606641. The reversal of 422606640 is 46606224.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 422606598 and 422606607.

It is not an unprimeable number, because it can be changed into a prime (422606641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26454 + ... + 39306.

Almost surely, 2422606640 is an apocalyptic number.

422606640 is a gapful number since it is divisible by the number (40) 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 422606640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659872944).

422606640 is an abundant number, since it is smaller than the sum of its proper divisors (897139248).

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

422606640 is a wasteful number, since it uses less digits than its factorization.

422606640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13006 (or 13000 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 422606640 is about 20557.3986681195. The cubic root of 422606640 is about 750.4333140481.

The spelling of 422606640 in words is "four hundred twenty-two million, six hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 5480 6576 8220 10960 12853 16440 25706 32880 38559 51412 64265 77118 102824 128530 154236 192795 205648 257060 308472 385590 514120 616944 771180 1028240 1542360 1760861 3084720 3521722 5282583 7043444 8804305 10565166 14086888 17608610 21130332 26412915 28173776 35217220 42260664 52825830 70434440 84521328 105651660 140868880 211303320 422606640