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2140234320 = 243572574957
BaseRepresentation
bin111111110010001…
…0110001001010000
312112011020011112210
41333210112021100
513340344444240
6552212352120
7104015456130
oct17744261120
95464204483
102140234320
119a91197a4
124b8915640
13281537253
14164360ac0
15c7d63780
hex7f916250

2140234320 has 160 divisors (see below), whose sum is σ = 7613584128. Its totient is φ = 487194624.

The previous prime is 2140234303. The next prime is 2140234331. The reversal of 2140234320 is 234320412.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 429282 + ... + 434238.

Almost surely, 22140234320 is an apocalyptic number.

2140234320 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 2140234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806792064).

2140234320 is an abundant number, since it is smaller than the sum of its proper divisors (5473349808).

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

2140234320 is a wasteful number, since it uses less digits than its factorization.

2140234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2140234320 is about 46262.6665898108. Note that the first 3 decimals coincide. The cubic root of 2140234320 is about 1288.7057748624.

Adding to 2140234320 its reverse (234320412), we get a palindrome (2374554732).

The spelling of 2140234320 in words is "two billion, one hundred forty million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 257 280 336 420 514 560 771 840 1028 1285 1542 1680 1799 2056 2570 3084 3598 3855 4112 4957 5140 5397 6168 7196 7710 8995 9914 10280 10794 12336 14392 14871 15420 17990 19828 20560 21588 24785 26985 28784 29742 30840 34699 35980 39656 43176 49570 53970 59484 61680 69398 71960 74355 79312 86352 99140 104097 107940 118968 138796 143920 148710 173495 198280 208194 215880 237936 277592 297420 346990 396560 416388 431760 520485 555184 594840 693980 832776 1040970 1189680 1273949 1387960 1665552 2081940 2547898 2775920 3821847 4163880 5095796 6369745 7643694 8327760 8917643 10191592 12739490 15287388 17835286 19109235 20383184 25478980 26752929 30574776 35670572 38218470 44588215 50957960 53505858 61149552 71341144 76436940 89176430 101915920 107011716 133764645 142682288 152873880 178352860 214023432 267529290 305747760 356705720 428046864 535058580 713411440 1070117160 2140234320