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68929840 = 2457831483
BaseRepresentation
bin1000001101111…
…00100100110000
311210200222222001
410012330210300
5120121223330
610501223344
71464615430
oct406744460
9153628861
1068929840
1135a00011
121b101b54
13113856b5
1492242c0
1560b89ca
hex41bc930

68929840 has 80 divisors (see below), whose sum is σ = 185488128. Its totient is φ = 23332608.

The previous prime is 68929829. The next prime is 68929843. The reversal of 68929840 is 4892986.

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

It is not an unprimeable number, because it can be changed into a prime (68929843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45739 + ... + 47221.

Almost surely, 268929840 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 68929840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92744064).

68929840 is an abundant number, since it is smaller than the sum of its proper divisors (116558288).

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

68929840 is a wasteful number, since it uses less digits than its factorization.

68929840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 68929840 is about 8302.3996531123. The cubic root of 68929840 is about 410.0175284991.

The spelling of 68929840 in words is "sixty-eight million, nine hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 581 664 830 1162 1328 1483 1660 2324 2905 2966 3320 4648 5810 5932 6640 7415 9296 10381 11620 11864 14830 20762 23240 23728 29660 41524 46480 51905 59320 83048 103810 118640 123089 166096 207620 246178 415240 492356 615445 830480 861623 984712 1230890 1723246 1969424 2461780 3446492 4308115 4923560 6892984 8616230 9847120 13785968 17232460 34464920 68929840