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4003001220 = 22351714926339
BaseRepresentation
bin1110111010011000…
…1111001110000100
3101022222100112100110
43232212033032010
531144232014340
61501114113020
7201124643331
oct35646171604
911288315313
104003001220
111774654079
1293871b770
134ba43279a
1429d8d5988
15186669680
hexee98f384

4003001220 has 96 divisors (see below), whose sum is σ = 11947824000. Its totient is φ = 997894144.

The previous prime is 4003001207. The next prime is 4003001243. The reversal of 4003001220 is 221003004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4003001196 and 4003001205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138811 + ... + 165149.

It is an arithmetic number, because the mean of its divisors is an integer number (124456500).

Almost surely, 24003001220 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 4003001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973912000).

4003001220 is an abundant number, since it is smaller than the sum of its proper divisors (7944822780).

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

4003001220 is a wasteful number, since it uses less digits than its factorization.

4003001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26517 (or 26515 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4003001220 is about 63269.2754818640. The cubic root of 4003001220 is about 1587.7979643651.

Adding to 4003001220 its reverse (221003004), we get a palindrome (4224004224).

The spelling of 4003001220 in words is "four billion, three million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 149 170 204 255 298 340 447 510 596 745 894 1020 1490 1788 2235 2533 2980 4470 5066 7599 8940 10132 12665 15198 25330 26339 30396 37995 50660 52678 75990 79017 105356 131695 151980 158034 263390 316068 395085 447763 526780 790170 895526 1343289 1580340 1791052 2238815 2686578 3924511 4477630 5373156 6716445 7849022 8955260 11773533 13432890 15698044 19622555 23547066 26865780 39245110 47094132 58867665 66716687 78490220 117735330 133433374 200150061 235470660 266866748 333583435 400300122 667166870 800600244 1000750305 1334333740 2001500610 4003001220