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4120987986 = 2321722959463
BaseRepresentation
bin1111010110100001…
…0100100101010010
3101122012100212202200
43311220110211102
531414433103421
61520531024030
7204056551143
oct36550244522
911565325680
104120987986
1118252102a5
1297013b016
13508a0323b
142b1449aca
15191bc3726
hexf5a14952

4120987986 has 144 divisors (see below), whose sum is σ = 9999849600. Its totient is φ = 1224470016.

The previous prime is 4120987939. The next prime is 4120987999. The reversal of 4120987986 is 6897890214.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8900391 + ... + 8900853.

It is an arithmetic number, because the mean of its divisors is an integer number (69443400).

Almost surely, 24120987986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120987986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999924800).

4120987986 is an abundant number, since it is smaller than the sum of its proper divisors (5878861614).

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

4120987986 is a wasteful number, since it uses less digits than its factorization.

4120987986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 4120987986 is about 64194.9218085044. The cubic root of 4120987986 is about 1603.2470499693.

The spelling of 4120987986 in words is "four billion, one hundred twenty million, nine hundred eighty-seven thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 59 87 102 118 153 174 177 261 289 306 354 463 493 522 531 578 867 926 986 1003 1062 1389 1479 1711 1734 2006 2601 2778 2958 3009 3422 4167 4437 5133 5202 6018 7871 8334 8381 8874 9027 10266 13427 15399 15742 16762 17051 18054 23613 25143 26854 27317 29087 30798 34102 40281 47226 50286 51153 54634 58174 70839 75429 80562 81951 87261 102306 120843 133807 141678 150858 153459 163902 174522 228259 241686 245853 261783 267614 306918 401421 456518 464389 491706 494479 523566 684777 792193 802842 928778 988958 1204263 1369554 1393167 1483437 1584386 2054331 2376579 2408526 2786334 2966874 3880403 4108662 4179501 4450311 4753158 7129737 7760806 7894613 8359002 8900622 11641209 13467281 14259474 15789226 23282418 23683839 26934562 34923627 40401843 47367678 69847254 71051517 80803686 121205529 142103034 228943777 242411058 457887554 686831331 1373662662 2060493993 4120987986