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68972634 = 2351391021
BaseRepresentation
bin1000001110001…
…11000001011010
311210210011200000
410013013001122
5120124111014
610502153430
71465154253
oct407070132
9153704600
1068972634
1135a2a185
121b122876
131139c013
149235b2a
1560c6509
hex41c705a

68972634 has 48 divisors (see below), whose sum is σ = 156243360. Its totient is φ = 22803120.

The previous prime is 68972623. The next prime is 68972677. The reversal of 68972634 is 43627986.

68972634 is a `hidden beast` number, since 6 + 8 + 9 + 7 + 2 + 634 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68972634.

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, 67044 + ... + 68064.

It is an arithmetic number, because the mean of its divisors is an integer number (3255070).

Almost surely, 268972634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68972634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78121680).

68972634 is an abundant number, since it is smaller than the sum of its proper divisors (87270726).

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

68972634 is a wasteful number, since it uses less digits than its factorization.

68972634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1165 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 68972634 is about 8304.9764599305. The cubic root of 68972634 is about 410.1023619096.

The spelling of 68972634 in words is "sixty-eight million, nine hundred seventy-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 243 278 417 486 834 1021 1251 2042 2502 3063 3753 6126 7506 9189 11259 18378 22518 27567 33777 55134 67554 82701 141919 165402 248103 283838 425757 496206 851514 1277271 2554542 3831813 7663626 11495439 22990878 34486317 68972634