Search a number
-
+
299104992 = 253219471163
BaseRepresentation
bin10001110100111…
…111101011100000
3202211211002220200
4101310333223200
51103032324432
645402505200
710261231134
oct2164775340
9684732820
10299104992
1114392300a
1284205200
1349c76604
142ba1d3c4
151b3d3a7c
hex11d3fae0

299104992 has 144 divisors (see below), whose sum is σ = 915183360. Its totient is φ = 92365056.

The previous prime is 299104979. The next prime is 299104997. The reversal of 299104992 is 299401992.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299104997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256603 + ... + 257765.

It is an arithmetic number, because the mean of its divisors is an integer number (6355440).

Almost surely, 2299104992 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 299104992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457591680).

299104992 is an abundant number, since it is smaller than the sum of its proper divisors (616078368).

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

299104992 is a wasteful number, since it uses less digits than its factorization.

299104992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 299104992 is about 17294.6521213929. The cubic root of 299104992 is about 668.7665671268.

The spelling of 299104992 in words is "two hundred ninety-nine million, one hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 47 48 57 72 76 94 96 114 141 144 152 171 188 228 282 288 304 342 376 423 456 564 608 684 752 846 893 912 1128 1163 1368 1504 1692 1786 1824 2256 2326 2679 2736 3384 3489 3572 4512 4652 5358 5472 6768 6978 7144 8037 9304 10467 10716 13536 13956 14288 16074 18608 20934 21432 22097 27912 28576 32148 37216 41868 42864 44194 54661 55824 64296 66291 83736 85728 88388 109322 111648 128592 132582 163983 167472 176776 198873 218644 257184 265164 327966 334944 353552 397746 437288 491949 530328 655932 707104 795492 874576 983898 1038559 1060656 1311864 1590984 1749152 1967796 2077118 2121312 2623728 3115677 3181968 3935592 4154236 5247456 6231354 6363936 7871184 8308472 9347031 12462708 15742368 16616944 18694062 24925416 33233888 37388124 49850832 74776248 99701664 149552496 299104992