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2152140320 = 2551110112107
BaseRepresentation
bin1000000001000111…
…0000111000100000
312112222122001111202
42000101300320200
513401421442240
6553315500332
7104221614401
oct20021607040
95488561452
102152140320
11a04910970
125008b76a8
13283b45515
14165b7d9a8
15c8e16315
hex80470e20

2152140320 has 96 divisors (see below), whose sum is σ = 5602032576. Its totient is φ = 774784000.

The previous prime is 2152140271. The next prime is 2152140371. The reversal of 2152140320 is 230412512.

It is a super-3 number, since 3×21521403203 (a number of 29 digits) contains 333 as substring.

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 = 2152140292 and 2152140301.

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, 171707 + ... + 183813.

It is an arithmetic number, because the mean of its divisors is an integer number (58354506).

Almost surely, 22152140320 is an apocalyptic number.

2152140320 is a gapful number since it is divisible by the number (20) 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 2152140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801016288).

2152140320 is an abundant number, since it is smaller than the sum of its proper divisors (3449892256).

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

2152140320 is a wasteful number, since it uses less digits than its factorization.

2152140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2152140320 is about 46391.1664005121. The cubic root of 2152140320 is about 1291.0910225994.

Adding to 2152140320 its reverse (230412512), we get a palindrome (2382552832).

The spelling of 2152140320 in words is "two billion, one hundred fifty-two million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 880 1010 1111 1616 1760 2020 2222 3232 4040 4444 5555 8080 8888 11110 12107 16160 17776 22220 24214 35552 44440 48428 60535 88880 96856 121070 133177 177760 193712 242140 266354 387424 484280 532708 665885 968560 1065416 1222807 1331770 1937120 2130832 2445614 2663540 4261664 4891228 5327080 6114035 9782456 10654160 12228070 13450877 19564912 21308320 24456140 26901754 39129824 48912280 53803508 67254385 97824560 107607016 134508770 195649120 215214032 269017540 430428064 538035080 1076070160 2152140320