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3987601080 = 2335232934931
BaseRepresentation
bin1110110110101101…
…1111011010111000
3101021220101010022220
43231223133122320
531131311213310
61455404044040
7200550023061
oct35553373270
911256333286
103987601080
111766995791
12933533620
134b719cc88
1429b847568
15185126670
hexedadf6b8

3987601080 has 128 divisors (see below), whose sum is σ = 12528069120. Its totient is φ = 1013450240.

The previous prime is 3987601069. The next prime is 3987601097. The reversal of 3987601080 is 801067893.

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, 806215 + ... + 811145.

It is an arithmetic number, because the mean of its divisors is an integer number (97875540).

Almost surely, 23987601080 is an apocalyptic number.

3987601080 is a gapful number since it is divisible by the number (30) 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 3987601080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6264034560).

3987601080 is an abundant number, since it is smaller than the sum of its proper divisors (8540468040).

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

3987601080 is a wasteful number, since it uses less digits than its factorization.

3987601080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 3987601080 is about 63147.4550556077. The cubic root of 3987601080 is about 1585.7591827932.

The spelling of 3987601080 in words is "three billion, nine hundred eighty-seven million, six hundred one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 293 345 460 552 586 690 879 920 1172 1380 1465 1758 2344 2760 2930 3516 4395 4931 5860 6739 7032 8790 9862 11720 13478 14793 17580 19724 20217 24655 26956 29586 33695 35160 39448 40434 49310 53912 59172 67390 73965 80868 98620 101085 113413 118344 134780 147930 161736 197240 202170 226826 269560 295860 340239 404340 453652 567065 591720 680478 808680 907304 1134130 1360956 1444783 1701195 2268260 2721912 2889566 3402390 4334349 4536520 5779132 6804780 7223915 8668698 11558264 13609560 14447830 17337396 21671745 28895660 33230009 34674792 43343490 57791320 66460018 86686980 99690027 132920036 166150045 173373960 199380054 265840072 332300090 398760108 498450135 664600180 797520216 996900270 1329200360 1993800540 3987601080