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68943360 = 293547191
BaseRepresentation
bin1000001101111…
…11111000000000
311210201200111210
410012333320000
5120122141420
610501410120
71465003023
oct406777000
9153650453
1068943360
1135a0a192
121b109940
131138b8b5
1492291ba
1560bc9e0
hex41bfe00

68943360 has 160 divisors (see below), whose sum is σ = 226271232. Its totient is φ = 17899520.

The previous prime is 68943341. The next prime is 68943367. The reversal of 68943360 is 6334986.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68943367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360865 + ... + 361055.

Almost surely, 268943360 is an apocalyptic number.

68943360 is a gapful number since it is divisible by the number (60) 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 68943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113135616).

68943360 is an abundant number, since it is smaller than the sum of its proper divisors (157327872).

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

68943360 is a wasteful number, since it uses less digits than its factorization.

68943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 68943360 is about 8303.2138356181. The cubic root of 68943360 is about 410.0443338932.

The spelling of 68943360 in words is "sixty-eight million, nine hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 191 192 235 240 256 282 320 376 382 384 470 480 512 564 573 640 705 752 764 768 940 955 960 1128 1146 1280 1410 1504 1528 1536 1880 1910 1920 2256 2292 2560 2820 2865 3008 3056 3760 3820 3840 4512 4584 5640 5730 6016 6112 7520 7640 7680 8977 9024 9168 11280 11460 12032 12224 15040 15280 17954 18048 18336 22560 22920 24064 24448 26931 30080 30560 35908 36096 36672 44885 45120 45840 48896 53862 60160 61120 71816 72192 73344 89770 90240 91680 97792 107724 120320 122240 134655 143632 146688 179540 180480 183360 215448 244480 269310 287264 293376 359080 360960 366720 430896 488960 538620 574528 718160 733440 861792 1077240 1149056 1436320 1466880 1723584 2154480 2298112 2872640 3447168 4308960 4596224 5745280 6894336 8617920 11490560 13788672 17235840 22981120 34471680 68943360