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1412142320 = 245195031847
BaseRepresentation
bin101010000101011…
…1001010011110000
310122102012021002102
41110022321103300
510343002023240
6352043035532
746665004001
oct12412712360
93572167072
101412142320
11665132476
12334b0bba8
13196740494
14d57931a8
1583e92815
hex542b94f0

1412142320 has 80 divisors (see below), whose sum is σ = 3464778240. Its totient is φ = 533774592.

The previous prime is 1412142227. The next prime is 1412142331. The reversal of 1412142320 is 232412141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1412142292 and 1412142301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763637 + ... + 765483.

It is an arithmetic number, because the mean of its divisors is an integer number (43309728).

Almost surely, 21412142320 is an apocalyptic number.

1412142320 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 1412142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732389120).

1412142320 is an abundant number, since it is smaller than the sum of its proper divisors (2052635920).

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

1412142320 is a wasteful number, since it uses less digits than its factorization.

1412142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1412142320 is about 37578.4821407145. The cubic root of 1412142320 is about 1121.9137985149.

Adding to 1412142320 its reverse (232412141), we get a palindrome (1644554461).

The spelling of 1412142320 in words is "one billion, four hundred twelve million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 503 760 1006 1520 1847 2012 2515 3694 4024 5030 7388 8048 9235 9557 10060 14776 18470 19114 20120 29552 35093 36940 38228 40240 47785 70186 73880 76456 95570 140372 147760 152912 175465 191140 280744 350930 382280 561488 701860 764560 929041 1403720 1858082 2807440 3716164 4645205 7432328 9290410 14864656 17651779 18580820 35303558 37161640 70607116 74323280 88258895 141214232 176517790 282428464 353035580 706071160 1412142320