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68679840 = 2535236221
BaseRepresentation
bin1000001011111…
…11100010100000
311210020022000210
410011333202200
5120040223330
610452014120
71462524525
oct405774240
9153208023
1068679840
113584a1a9
121b001340
13112c8978
14919b14c
1560698b0
hex417f8a0

68679840 has 96 divisors (see below), whose sum is σ = 225783936. Its totient is φ = 17515520.

The previous prime is 68679833. The next prime is 68679841. The reversal of 68679840 is 4897686.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 68679840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68679841) 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, 7930 + ... + 14150.

It is an arithmetic number, because the mean of its divisors is an integer number (2351916).

Almost surely, 268679840 is an apocalyptic number.

68679840 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 68679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112891968).

68679840 is an abundant number, since it is smaller than the sum of its proper divisors (157104096).

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

68679840 is a wasteful number, since it uses less digits than its factorization.

68679840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 68679840 is about 8287.3300887560. The cubic root of 68679840 is about 409.5212337352.

The spelling of 68679840 in words is "sixty-eight million, six hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 6221 11040 12442 18663 24884 31105 37326 49768 62210 74652 93315 99536 124420 143083 149304 186630 199072 248840 286166 298608 373260 429249 497680 572332 597216 715415 746520 858498 995360 1144664 1430830 1493040 1716996 2146245 2289328 2861660 2986080 3433992 4292490 4578656 5723320 6867984 8584980 11446640 13735968 17169960 22893280 34339920 68679840