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68985700 = 22527139709
BaseRepresentation
bin1000001110010…
…10001101100100
311210210211120221
410013022031210
5120130020300
610502334124
71465240330
oct407121544
9153724527
1068985700
1135a38a83
121b12a344
13113a4c54
14923a7c0
1560ca31a
hex41ca364

68985700 has 72 divisors (see below), whose sum is σ = 172558400. Its totient is φ = 23448960.

The previous prime is 68985619. The next prime is 68985733. The reversal of 68985700 is 758986.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 96946 + ... + 97654.

Almost surely, 268985700 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 68985700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86279200).

68985700 is an abundant number, since it is smaller than the sum of its proper divisors (103572700).

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

68985700 is a wasteful number, since it uses less digits than its factorization.

68985700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 68985700 is about 8305.7630594666. The cubic root of 68985700 is about 410.1282565233.

The spelling of 68985700 in words is "sixty-eight million, nine hundred eighty-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 139 140 175 278 350 556 695 700 709 973 1390 1418 1946 2780 2836 3475 3545 3892 4865 4963 6950 7090 9730 9926 13900 14180 17725 19460 19852 24325 24815 35450 48650 49630 70900 97300 98551 99260 124075 197102 248150 394204 492755 496300 689857 985510 1379714 1971020 2463775 2759428 3449285 4927550 6898570 9855100 13797140 17246425 34492850 68985700