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666435420 = 223257599883
BaseRepresentation
bin100111101110001…
…111111101011100
31201110000102112100
4213232033331130
52331101413140
6150044005100
722341415260
oct4756177534
91643012470
10666435420
11312204882
12167230790
13a80b9ab1
146471c0a0
153d792530
hex27b8ff5c

666435420 has 144 divisors (see below), whose sum is σ = 2316787200. Its totient is φ = 151901568.

The previous prime is 666435401. The next prime is 666435439. The reversal of 666435420 is 24534666.

It is an interprime number because it is at equal distance from previous prime (666435401) and next prime (666435439).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 754299 + ... + 755181.

It is an arithmetic number, because the mean of its divisors is an integer number (16088800).

Almost surely, 2666435420 is an apocalyptic number.

666435420 is a gapful number since it is divisible by the number (60) 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 666435420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158393600).

666435420 is an abundant number, since it is smaller than the sum of its proper divisors (1650351780).

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

666435420 is a wasteful number, since it uses less digits than its factorization.

666435420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 666435420 is about 25815.4105138772. The cubic root of 666435420 is about 873.4794467701.

The spelling of 666435420 in words is "six hundred sixty-six million, four hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 599 630 883 1198 1260 1766 1797 2396 2649 2995 3532 3594 4193 4415 5298 5391 5990 6181 7188 7947 8386 8830 8985 10596 10782 11980 12362 12579 13245 15894 16772 17660 17970 18543 20965 21564 24724 25158 26490 26955 30905 31788 35940 37086 37737 39735 41930 50316 52980 53910 55629 61810 62895 74172 75474 79470 83860 92715 107820 111258 123620 125790 150948 158940 185430 188685 222516 251580 278145 370860 377370 528917 556290 754740 1057834 1112580 1586751 2115668 2644585 3173502 3702419 4760253 5289170 6347004 7404838 7933755 9520506 10578340 11107257 14809676 15867510 18512095 19041012 22214514 23801265 31735020 33321771 37024190 44429028 47602530 55536285 66643542 74048380 95205060 111072570 133287084 166608855 222145140 333217710 666435420