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68719440 = 24351716843
BaseRepresentation
bin1000001100010…
…01001101010000
311210022022100110
410012021031100
5120043010230
610452521320
71463051136
oct406111520
9153268313
1068719440
1135876a29
121b020240
13113109ba
1491ab756
1560764b0
hex4189350

68719440 has 80 divisors (see below), whose sum is σ = 225574848. Its totient is φ = 17246208.

The previous prime is 68719439. The next prime is 68719459. The reversal of 68719440 is 4491786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×687194402 = 9444722867827200, which contains 22 as substring.

It is a congruent number.

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, 4342 + ... + 12501.

Almost surely, 268719440 is an apocalyptic number.

68719440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68719440 is an abundant number, since it is smaller than the sum of its proper divisors (156855408).

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

68719440 is a wasteful number, since it uses less digits than its factorization.

68719440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16876 (or 16870 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 68719440 is about 8289.7189337154. The cubic root of 68719440 is about 409.5999270121.

The spelling of 68719440 in words is "sixty-eight million, seven hundred nineteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 16843 33686 50529 67372 84215 101058 134744 168430 202116 252645 269488 286331 336860 404232 505290 572662 673720 808464 858993 1010580 1145324 1347440 1431655 1717986 2021160 2290648 2863310 3435972 4042320 4294965 4581296 5726620 6871944 8589930 11453240 13743888 17179860 22906480 34359720 68719440