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68655040 = 265732939
BaseRepresentation
bin1000001011110…
…01011111000000
311210012001000021
410011321133000
5120033430130
610451303224
71462362316
oct405713700
9153161007
1068655040
1135832603
121abaab14
13112ba5ac
1491920b6
15606237a
hex41797c0

68655040 has 56 divisors (see below), whose sum is σ = 165780720. Its totient is φ = 27076608.

The previous prime is 68655031. The next prime is 68655043. The reversal of 68655040 is 4055686.

It is a junction number, because it is equal to n+sod(n) for n = 68654987 and 68655005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68655043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21891 + ... + 24829.

It is an arithmetic number, because the mean of its divisors is an integer number (2960370).

Almost surely, 268655040 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 68655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82890360).

68655040 is an abundant number, since it is smaller than the sum of its proper divisors (97125680).

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

68655040 is a wasteful number, since it uses less digits than its factorization.

68655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 68655040 is about 8285.8336937209. The cubic root of 68655040 is about 409.4719356720.

The spelling of 68655040 in words is "sixty-eight million, six hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 1168 1460 2336 2920 2939 4672 5840 5878 11680 11756 14695 23360 23512 29390 47024 58780 94048 117560 188096 214547 235120 429094 470240 858188 940480 1072735 1716376 2145470 3432752 4290940 6865504 8581880 13731008 17163760 34327520 68655040