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1322413020 = 223355941507
BaseRepresentation
bin100111011010010…
…0110101111011100
310102011100112122000
41032310212233130
510202014204040
6335115522300
744525216355
oct11664465734
93364315560
101322413020
11619516525
1230aa59390
13180c84816
14c78b6d2c
157b16b130
hex4ed26bdc

1322413020 has 96 divisors (see below), whose sum is σ = 4184006400. Its totient is φ = 346658112.

The previous prime is 1322413019. The next prime is 1322413067. The reversal of 1322413020 is 203142231.

1322413020 is a `hidden beast` number, since 1 + 322 + 41 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1322412984 and 1322413002.

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, 11107 + ... + 52613.

It is an arithmetic number, because the mean of its divisors is an integer number (43583400).

Almost surely, 21322413020 is an apocalyptic number.

1322413020 is a gapful number since it is divisible by the number (10) 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 1322413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092003200).

1322413020 is an abundant number, since it is smaller than the sum of its proper divisors (2861593380).

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

1322413020 is a wasteful number, since it uses less digits than its factorization.

1322413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41584 (or 41576 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1322413020 is about 36364.9971813556. The cubic root of 1322413020 is about 1097.6293353043.

Adding to 1322413020 its reverse (203142231), we get a palindrome (1525555251).

It can be divided in two parts, 13224 and 13020, that added together give a square (26244 = 1622).

The spelling of 1322413020 in words is "one billion, three hundred twenty-two million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 354 531 540 590 708 885 1062 1180 1593 1770 2124 2655 3186 3540 5310 6372 7965 10620 15930 31860 41507 83014 124521 166028 207535 249042 373563 415070 498084 622605 747126 830140 1120689 1245210 1494252 1867815 2241378 2448913 2490420 3735630 4482756 4897826 5603445 7346739 7471260 9795652 11206890 12244565 14693478 22040217 22413780 24489130 29386956 36733695 44080434 48978260 66120651 73467390 88160868 110201085 132241302 146934780 220402170 264482604 330603255 440804340 661206510 1322413020