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1402120320 = 27352113461
BaseRepresentation
bin101001110010010…
…1010100010000000
310121201100002111020
41103210222202000
510332420322240
6351044145440
746513553226
oct12344524200
93551302436
101402120320
1165a507827
12331698280
131946418c3
14d4304b16
15831630d0
hex5392a880

1402120320 has 128 divisors (see below), whose sum is σ = 4491737280. Its totient is φ = 372019200.

The previous prime is 1402120289. The next prime is 1402120351. The reversal of 1402120320 is 230212041.

It is an interprime number because it is at equal distance from previous prime (1402120289) and next prime (1402120351).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1402120320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403390 + ... + 406850.

Almost surely, 21402120320 is an apocalyptic number.

1402120320 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 1402120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245868640).

1402120320 is an abundant number, since it is smaller than the sum of its proper divisors (3089616960).

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

1402120320 is a wasteful number, since it uses less digits than its factorization.

1402120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3682 counting only the distinct ones).

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

The square root of 1402120320 is about 37444.8971156285. The cubic root of 1402120320 is about 1119.2534140050.

Adding to 1402120320 its reverse (230212041), we get a palindrome (1632332361).

The spelling of 1402120320 in words is "one billion, four hundred two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 211 240 320 384 422 480 633 640 844 960 1055 1266 1688 1920 2110 2532 3165 3376 3461 4220 5064 6330 6752 6922 8440 10128 10383 12660 13504 13844 16880 17305 20256 20766 25320 27008 27688 33760 34610 40512 41532 50640 51915 55376 67520 69220 81024 83064 101280 103830 110752 135040 138440 166128 202560 207660 221504 276880 332256 405120 415320 443008 553760 664512 730271 830640 1107520 1329024 1460542 1661280 2190813 2215040 2921084 3322560 3651355 4381626 5842168 6645120 7302710 8763252 10954065 11684336 14605420 17526504 21908130 23368672 29210840 35053008 43816260 46737344 58421680 70106016 87632520 93474688 116843360 140212032 175265040 233686720 280424064 350530080 467373440 701060160 1402120320