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3987070220 = 2257229532647
BaseRepresentation
bin1110110110100101…
…1101110100001100
3101021212101011010102
43231221131310030
531131142221340
61455344430232
7200542352300
oct35551356414
911255334112
103987070220
111766662961
12933318378
134b7045463
1429b749d00
1518506e215
hexeda5dd0c

3987070220 has 144 divisors (see below), whose sum is σ = 10269685440. Its totient is φ = 1294465536.

The previous prime is 3987070211. The next prime is 3987070259. The reversal of 3987070220 is 220707893.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1504937 + ... + 1507583.

It is an arithmetic number, because the mean of its divisors is an integer number (71317260).

Almost surely, 23987070220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3987070220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134842720).

3987070220 is an abundant number, since it is smaller than the sum of its proper divisors (6282615220).

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

3987070220 is a wasteful number, since it uses less digits than its factorization.

3987070220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 3987070220 is about 63143.2515792464. The cubic root of 3987070220 is about 1585.6888102006.

The spelling of 3987070220 in words is "three billion, nine hundred eighty-seven million, seventy thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 53 58 70 98 106 116 140 145 196 203 212 245 265 290 371 406 490 530 580 742 812 980 1015 1060 1421 1484 1537 1855 2030 2597 2647 2842 3074 3710 4060 5194 5294 5684 6148 7105 7420 7685 10388 10588 10759 12985 13235 14210 15370 18529 21518 25970 26470 28420 30740 37058 43036 51940 52940 53795 74116 75313 76763 92645 107590 129703 140291 150626 153526 185290 215180 259406 280582 301252 307052 370580 376565 383815 518812 537341 561164 648515 701455 753130 767630 982037 1074682 1297030 1402910 1506260 1535260 1964074 2149364 2594060 2686705 2805820 3761387 3928148 4068439 4910185 5373410 6874259 7522774 8136878 9820370 10746820 13748518 15045548 16273756 18806935 19640740 20342195 27497036 28479073 34371295 37613870 40684390 56958146 68742590 75227740 81368780 113916292 137485180 142395365 199353511 284790730 398707022 569581460 797414044 996767555 1993535110 3987070220