Search a number
-
+
999931140 = 22325133311291
BaseRepresentation
bin111011100110011…
…011110100000100
32120200112202122200
4323212123310010
54021440244030
6243115554500
733531163065
oct7346336404
92520482580
10999931140
1147348707a
1223aa5ba30
1312c214a40
1496b3056c
155cbbad60
hex3b99bd04

999931140 has 144 divisors (see below), whose sum is σ = 3278847936. Its totient is φ = 245203200.

The previous prime is 999931139. The next prime is 999931171. The reversal of 999931140 is 41139999.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 773895 + ... + 775185.

Almost surely, 2999931140 is an apocalyptic number.

999931140 is a gapful number since it is divisible by the number (90) 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 999931140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639423968).

999931140 is an abundant number, since it is smaller than the sum of its proper divisors (2278916796).

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

999931140 is a wasteful number, since it uses less digits than its factorization.

999931140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 999931140 is about 31621.6878107415. The cubic root of 999931140 is about 999.9770461398.

The spelling of 999931140 in words is "nine hundred ninety-nine million, nine hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 331 390 468 585 662 780 993 1170 1291 1324 1655 1986 2340 2582 2979 3310 3873 3972 4303 4965 5164 5958 6455 6620 7746 8606 9930 11619 11916 12909 12910 14895 15492 16783 17212 19365 19860 21515 23238 25818 25820 29790 33566 38727 38730 43030 46476 50349 51636 58095 59580 64545 67132 77454 77460 83915 86060 100698 116190 129090 151047 154908 167830 193635 201396 232380 251745 258180 302094 335660 387270 427321 503490 604188 755235 774540 854642 1006980 1281963 1510470 1709284 2136605 2563926 3020940 3845889 4273210 5127852 5555173 6409815 7691778 8546420 11110346 12819630 15383556 16665519 19229445 22220692 25639260 27775865 33331038 38458890 49996557 55551730 66662076 76917780 83327595 99993114 111103460 166655190 199986228 249982785 333310380 499965570 999931140