Search a number
-
+
9981937920 = 28355095107
BaseRepresentation
bin10010100101111100…
…00100100100000000
3221202122202222121110
421102332010210000
5130420334003140
64330255323320
7502235033553
oct112276044400
927678688543
109981937920
1142625a8779
121b26b20540
13c31035156
146a99c069a
153d64e1380
hex252f84900

9981937920 has 144 divisors (see below), whose sum is σ = 31948701120. Its totient is φ = 2656100352.

The previous prime is 9981937909. The next prime is 9981937937. The reversal of 9981937920 is 297391899.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1952007 + ... + 1957113.

It is an arithmetic number, because the mean of its divisors is an integer number (221865980).

Almost surely, 29981937920 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 9981937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15974350560).

9981937920 is an abundant number, since it is smaller than the sum of its proper divisors (21966763200).

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

9981937920 is a wasteful number, since it uses less digits than its factorization.

9981937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 57.

The square root of 9981937920 is about 99909.6487832882. The cubic root of 9981937920 is about 2153.1367892341.

The spelling of 9981937920 in words is "nine billion, nine hundred eighty-one million, nine hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 509 640 768 960 1018 1280 1527 1920 2036 2545 3054 3840 4072 5090 5107 6108 7635 8144 10180 10214 12216 15270 15321 16288 20360 20428 24432 25535 30540 30642 32576 40720 40856 48864 51070 61080 61284 65152 76605 81440 81712 97728 102140 122160 122568 130304 153210 162880 163424 195456 204280 244320 245136 306420 325760 326848 390912 408560 488640 490272 612840 651520 653696 817120 977280 980544 1225680 1307392 1634240 1954560 1961088 2451360 2599463 3268480 3922176 4902720 5198926 6536960 7798389 9805440 10397852 12997315 15596778 19610880 20795704 25994630 31193556 38991945 41591408 51989260 62387112 77983890 83182816 103978520 124774224 155967780 166365632 207957040 249548448 311935560 332731264 415914080 499096896 623871120 665462528 831828160 998193792 1247742240 1663656320 1996387584 2495484480 3327312640 4990968960 9981937920