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2860093880 = 235779239541
BaseRepresentation
bin1010101001111001…
…1001000110111000
321101022202211012222
42222132121012320
521324141001010
61151445423212
7130606253060
oct25236310670
97338684188
102860093880
1112384a2956
12679a0ab08
1336770ab57
141d1bc83a0
1511b15a355
hexaa7991b8

2860093880 has 128 divisors (see below), whose sum is σ = 7492608000. Its totient is φ = 962357760.

The previous prime is 2860093879. The next prime is 2860093903. The reversal of 2860093880 is 883900682.

2860093880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5286410 + ... + 5286950.

It is an arithmetic number, because the mean of its divisors is an integer number (58536000).

Almost surely, 22860093880 is an apocalyptic number.

2860093880 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 2860093880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746304000).

2860093880 is an abundant number, since it is smaller than the sum of its proper divisors (4632514120).

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

2860093880 is a wasteful number, since it uses less digits than its factorization.

2860093880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 2860093880 is about 53479.8455495152. The cubic root of 2860093880 is about 1419.4717799937.

The spelling of 2860093880 in words is "two billion, eight hundred sixty million, ninety-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 239 280 316 395 478 541 553 632 790 956 1082 1106 1195 1580 1673 1912 2164 2212 2390 2705 2765 3160 3346 3787 4328 4424 4780 5410 5530 6692 7574 8365 9560 10820 11060 13384 15148 16730 18881 18935 21640 22120 30296 33460 37762 37870 42739 66920 75524 75740 85478 94405 129299 132167 151048 151480 170956 188810 213695 258598 264334 299173 341912 377620 427390 517196 528668 598346 646495 660835 755240 854780 905093 1034392 1057336 1196692 1292990 1321670 1495865 1709560 1810186 2393384 2585980 2643340 2991730 3620372 4525465 5171960 5286680 5983460 7240744 9050930 10214621 11966920 18101860 20429242 36203720 40858484 51073105 71502347 81716968 102146210 143004694 204292420 286009388 357511735 408584840 572018776 715023470 1430046940 2860093880