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426364020 = 223351934091
BaseRepresentation
bin11001011010011…
…100110001110100
31002201021112111000
4121122130301310
51333122122040
6110150243300
713365014535
oct3132346164
91081245430
10426364020
111a9742665
12ba956530
136a442604
14408a868c
1527670130
hex1969cc74

426364020 has 96 divisors (see below), whose sum is σ = 1333664640. Its totient is φ = 113080320.

The previous prime is 426363979. The next prime is 426364033. The reversal of 426364020 is 20463624.

426364020 is a `hidden beast` number, since 4 + 2 + 636 + 4 + 0 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102175 + ... + 106265.

It is an arithmetic number, because the mean of its divisors is an integer number (13892340).

Almost surely, 2426364020 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 426364020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666832320).

426364020 is an abundant number, since it is smaller than the sum of its proper divisors (907300620).

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

426364020 is a wasteful number, since it uses less digits than its factorization.

426364020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4294 counting only the distinct ones).

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

The square root of 426364020 is about 20648.5839708199. The cubic root of 426364020 is about 752.6507801154.

It can be divided in two parts, 42636 and 4020, that added together give a 6-th power (46656 = 66).

The spelling of 426364020 in words is "four hundred twenty-six million, three hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 193 270 386 540 579 772 965 1158 1737 1930 2316 2895 3474 3860 4091 5211 5790 6948 8182 8685 10422 11580 12273 16364 17370 20455 20844 24546 26055 34740 36819 40910 49092 52110 61365 73638 81820 104220 110457 122730 147276 184095 220914 245460 368190 441828 552285 736380 789563 1104570 1579126 2209140 2368689 3158252 3947815 4737378 7106067 7895630 9474756 11843445 14212134 15791260 21318201 23686890 28424268 35530335 42636402 47373780 71060670 85272804 106591005 142121340 213182010 426364020