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68910720 = 2735191889
BaseRepresentation
bin1000001101101…
…11111010000000
311210200000201220
410012313322000
5120120120340
610500555040
71464505614
oct406677200
9153600656
1068910720
113599770a
121b0b2a80
1311379a98
14921b344
1560b2ed0
hex41b7e80

68910720 has 128 divisors (see below), whose sum is σ = 231336000. Its totient is φ = 17399808.

The previous prime is 68910719. The next prime is 68910727. The reversal of 68910720 is 2701986.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (68910727) 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, 35536 + ... + 37424.

Almost surely, 268910720 is an apocalyptic number.

68910720 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 68910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115668000).

68910720 is an abundant number, since it is smaller than the sum of its proper divisors (162425280).

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

68910720 is a wasteful number, since it uses less digits than its factorization.

68910720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 68910720 is about 8301.2480989307. The cubic root of 68910720 is about 409.9796142948.

The spelling of 68910720 in words is "sixty-eight million, nine hundred ten thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1889 1920 2280 2432 3040 3648 3778 4560 5667 6080 7296 7556 9120 9445 11334 12160 15112 18240 18890 22668 28335 30224 35891 36480 37780 45336 56670 60448 71782 75560 90672 107673 113340 120896 143564 151120 179455 181344 215346 226680 241792 287128 302240 358910 362688 430692 453360 538365 574256 604480 717820 725376 861384 906720 1076730 1148512 1208960 1435640 1722768 1813440 2153460 2297024 2871280 3445536 3626880 4306920 4594048 5742560 6891072 8613840 11485120 13782144 17227680 22970240 34455360 68910720