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68667700 = 22526111257
BaseRepresentation
bin1000001011111…
…00100100110100
311210012200101011
410011330210310
5120034331300
610451442004
71462444243
oct405744464
9153180334
1068667700
1135841072
121abb6304
13112c329a
14919695a
156065eba
hex417c934

68667700 has 36 divisors (see below), whose sum is σ = 151465132. Its totient is φ = 27014400.

The previous prime is 68667631. The next prime is 68667707. The reversal of 68667700 is 776686.

It can be written as a sum of positive squares in 6 ways, for example, as 4218916 + 64448784 = 2054^2 + 8028^2 .

It is a super-4 number, since 4×686677004 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68667707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 472 + ... + 11728.

Almost surely, 268667700 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 68667700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75732566).

68667700 is an abundant number, since it is smaller than the sum of its proper divisors (82797432).

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

68667700 is a wasteful number, since it uses less digits than its factorization.

68667700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11332 (or 11325 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 68667700 is about 8286.5976130134. The cubic root of 68667700 is about 409.4971030212.

It can be divided in two parts, 686 and 67700, that added together give a palindrome (68386).

The spelling of 68667700 in words is "sixty-eight million, six hundred sixty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 11257 22514 45028 56285 112570 225140 281425 562850 686677 1125700 1373354 2746708 3433385 6866770 13733540 17166925 34333850 68667700