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68945820 = 223511310169
BaseRepresentation
bin1000001110000…
…00011110011100
311210201210212220
410013000132130
5120122231240
610501425340
71465013136
oct407003634
9153653786
1068945820
1135a11019
121b10b250
131138ca58
14922a056
1560bd5d0
hex41c079c

68945820 has 48 divisors (see below), whose sum is σ = 194775840. Its totient is φ = 18221056.

The previous prime is 68945803. The next prime is 68945827. The reversal of 68945820 is 2854986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68945827) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1696 + ... + 11864.

It is an arithmetic number, because the mean of its divisors is an integer number (4057830).

Almost surely, 268945820 is an apocalyptic number.

68945820 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 68945820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97387920).

68945820 is an abundant number, since it is smaller than the sum of its proper divisors (125830020).

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

68945820 is a wasteful number, since it uses less digits than its factorization.

68945820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10294 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 68945820 is about 8303.3619697084. The cubic root of 68945820 is about 410.0492108292.

The spelling of 68945820 in words is "sixty-eight million, nine hundred forty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6780 10169 20338 30507 40676 50845 61014 101690 122028 152535 203380 305070 610140 1149097 2298194 3447291 4596388 5745485 6894582 11490970 13789164 17236455 22981940 34472910 68945820