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96668160 = 293541307
BaseRepresentation
bin1011100001100…
…00101000000000
320201220020210020
411300300220000
5144221340120
613331533440
72252444241
oct560605000
9221806706
1096668160
114a626246
122845a280
13170480c4
14cba4cc8
158747640
hex5c30a00

96668160 has 160 divisors (see below), whose sum is σ = 317604672. Its totient is φ = 25067520.

The previous prime is 96668147. The next prime is 96668189. The reversal of 96668160 is 6186669.

It is a tau number, because it is divible by the number of its divisors (160).

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, 314727 + ... + 315033.

Almost surely, 296668160 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 96668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158802336).

96668160 is an abundant number, since it is smaller than the sum of its proper divisors (220936512).

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

96668160 is a wasteful number, since it uses less digits than its factorization.

96668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 96668160 is about 9831.9967453209. The cubic root of 96668160 is about 458.9455367999.

The spelling of 96668160 in words is "ninety-six million, six hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 307 320 328 384 410 480 492 512 614 615 640 656 768 820 921 960 984 1228 1230 1280 1312 1535 1536 1640 1842 1920 1968 2456 2460 2560 2624 3070 3280 3684 3840 3936 4605 4912 4920 5248 6140 6560 7368 7680 7872 9210 9824 9840 10496 12280 12587 13120 14736 15744 18420 19648 19680 20992 24560 25174 26240 29472 31488 36840 37761 39296 39360 49120 50348 52480 58944 62935 62976 73680 75522 78592 78720 98240 100696 104960 117888 125870 147360 151044 157184 157440 188805 196480 201392 235776 251740 294720 302088 314880 377610 392960 402784 471552 503480 589440 604176 755220 785920 805568 1006960 1178880 1208352 1510440 1611136 2013920 2357760 2416704 3020880 3222272 4027840 4833408 6041760 6444544 8055680 9666816 12083520 16111360 19333632 24167040 32222720 48334080 96668160