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1322002140 = 22351910910639
BaseRepresentation
bin100111011001100…
…0010011011011100
310102010120200000020
41032303002123130
510201413032030
6335103032140
744521555434
oct11663023334
93363520006
101322002140
11619265858
1230a89b650
13180b6c7b4
14c780b2c4
157b0d9510
hex4ecc26dc

1322002140 has 96 divisors (see below), whose sum is σ = 3932544000. Its totient is φ = 330884352.

The previous prime is 1322002133. The next prime is 1322002153. The reversal of 1322002140 is 412002231.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 118941 + ... + 129579.

It is an arithmetic number, because the mean of its divisors is an integer number (40964000).

Almost surely, 21322002140 is an apocalyptic number.

1322002140 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 1322002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966272000).

1322002140 is an abundant number, since it is smaller than the sum of its proper divisors (2610541860).

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

1322002140 is a wasteful number, since it uses less digits than its factorization.

1322002140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10779 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1322002140 is about 36359.3473538786. The cubic root of 1322002140 is about 1097.5156439811.

Adding to 1322002140 its reverse (412002231), we get a palindrome (1734004371).

Subtracting from 1322002140 its reverse (412002231), we obtain a palindrome (909999909).

The spelling of 1322002140 in words is "one billion, three hundred twenty-two million, two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 109 114 190 218 228 285 327 380 436 545 570 654 1090 1140 1308 1635 2071 2180 3270 4142 6213 6540 8284 10355 10639 12426 20710 21278 24852 31065 31917 41420 42556 53195 62130 63834 106390 124260 127668 159585 202141 212780 319170 404282 606423 638340 808564 1010705 1159651 1212846 2021410 2319302 2425692 3032115 3478953 4042820 4638604 5798255 6064230 6957906 11596510 12128460 13915812 17394765 22033369 23193020 34789530 44066738 66100107 69579060 88133476 110166845 132200214 220333690 264400428 330500535 440667380 661001070 1322002140