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2327977680 = 243574729483
BaseRepresentation
bin1000101011000010…
…0001111011010000
320000020111112000120
42022300201323100
514231430241210
61023000350240
7111455324640
oct21260417320
96006445016
102327977680
11a950a00a6
1254b775380
132b13bc7b2
14181272520
15d959b270
hex8ac21ed0

2327977680 has 160 divisors (see below), whose sum is σ = 8423460864. Its totient is φ = 520770048.

The previous prime is 2327977667. The next prime is 2327977723. The reversal of 2327977680 is 867797232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64219 + ... + 93701.

Almost surely, 22327977680 is an apocalyptic number.

2327977680 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 2327977680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211730432).

2327977680 is an abundant number, since it is smaller than the sum of its proper divisors (6095483184).

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

2327977680 is a wasteful number, since it uses less digits than its factorization.

2327977680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29553 (or 29547 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The square root of 2327977680 is about 48249.1210282633. The cubic root of 2327977680 is about 1325.3368418557.

The spelling of 2327977680 in words is "two billion, three hundred twenty-seven million, nine hundred seventy-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 47 48 56 60 70 80 84 94 105 112 120 140 141 168 188 210 235 240 280 282 329 336 376 420 470 560 564 658 705 752 840 940 987 1128 1316 1410 1645 1680 1880 1974 2256 2632 2820 3290 3760 3948 4935 5264 5640 6580 7896 9870 11280 13160 15792 19740 26320 29483 39480 58966 78960 88449 117932 147415 176898 206381 235864 294830 353796 412762 442245 471728 589660 619143 707592 825524 884490 1031905 1179320 1238286 1385701 1415184 1651048 1768980 2063810 2358640 2476572 2771402 3095715 3302096 3537960 4127620 4157103 4953144 5542804 6191430 6928505 7075920 8255240 8314206 9699907 9906288 11085608 12382860 13857010 16510480 16628412 19399814 20785515 22171216 24765720 27714020 29099721 33256824 38799628 41571030 48499535 49531440 55428040 58199442 66513648 77599256 83142060 96999070 110856080 116398884 145498605 155198512 166284120 193998140 232797768 290997210 332568240 387996280 465595536 581994420 775992560 1163988840 2327977680