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3820604220 = 2233570110093
BaseRepresentation
bin1110001110111001…
…1100101100111100
3100212021010210201000
43203232130230330
530311033313340
61431040450300
7163451412546
oct34356345474
910767123630
103820604220
1116906a4554
128a7619990
1348b6cc874
142835b6696
1517563ad30
hexe3b9cb3c

3820604220 has 96 divisors (see below), whose sum is σ = 11904459840. Its totient is φ = 1017273600.

The previous prime is 3820604173. The next prime is 3820604231. The reversal of 3820604220 is 224060283.

3820604220 is a `hidden beast` number, since 38 + 2 + 0 + 604 + 2 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373494 + ... + 383586.

It is an arithmetic number, because the mean of its divisors is an integer number (124004790).

Almost surely, 23820604220 is an apocalyptic number.

3820604220 is a gapful number since it is divisible by the number (30) 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 3820604220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952229920).

3820604220 is an abundant number, since it is smaller than the sum of its proper divisors (8083855620).

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

3820604220 is a wasteful number, since it uses less digits than its factorization.

3820604220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812 (or 10804 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3820604220 is about 61811.0363931879. The cubic root of 3820604220 is about 1563.3060802493.

The spelling of 3820604220 in words is "three billion, eight hundred twenty million, six hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 701 1402 2103 2804 3505 4206 6309 7010 8412 10093 10515 12618 14020 18927 20186 21030 25236 30279 31545 37854 40372 42060 50465 60558 63090 75708 90837 94635 100930 121116 126180 151395 181674 189270 201860 272511 302790 363348 378540 454185 545022 605580 908370 1090044 1362555 1816740 2725110 5450220 7075193 14150386 21225579 28300772 35375965 42451158 63676737 70751930 84902316 106127895 127353474 141503860 191030211 212255790 254706948 318383685 382060422 424511580 636767370 764120844 955151055 1273534740 1910302110 3820604220