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1322780076 = 2232199719937
BaseRepresentation
bin100111011011000…
…0000010110101100
310102012001012010200
41032312000112230
510202112430301
6335131433500
744531305452
oct11666002654
93365035120
101322780076
11619747282
1230abb5890
13181082907
14c79709d2
157b1dec86
hex4ed805ac

1322780076 has 72 divisors (see below), whose sum is σ = 3556141680. Its totient is φ = 413392896.

The previous prime is 1322780051. The next prime is 1322780077. The reversal of 1322780076 is 6700872231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1322780076.

It is not an unprimeable number, because it can be changed into a prime (1322780077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56380 + ... + 76316.

Almost surely, 21322780076 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 1322780076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778070840).

1322780076 is an abundant number, since it is smaller than the sum of its proper divisors (2233361604).

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

1322780076 is a wasteful number, since it uses less digits than its factorization.

1322780076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20063 (or 20058 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1322780076 is about 36370.0436623329. The cubic root of 1322780076 is about 1097.7308805242.

The spelling of 1322780076 in words is "one billion, three hundred twenty-two million, seven hundred eighty thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 97 114 171 194 228 291 342 388 582 684 873 1164 1746 1843 3492 3686 5529 7372 11058 16587 19937 22116 33174 39874 59811 66348 79748 119622 179433 239244 358866 378803 717732 757606 1136409 1515212 1933889 2272818 3409227 3867778 4545636 5801667 6818454 7735556 11603334 13636908 17405001 23206668 34810002 36743891 69620004 73487782 110231673 146975564 220463346 330695019 440926692 661390038 1322780076