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68423904 = 25321931231
BaseRepresentation
bin1000001010000…
…01000011100000
311202202021221200
410011001003200
5120004031104
610442321200
71460410413
oct405010340
9152667850
1068423904
113569498a
121aab9200
1311239323
149131b7a
156018b39
hex41410e0

68423904 has 72 divisors (see below), whose sum is σ = 195747552. Its totient is φ = 22671360.

The previous prime is 68423863. The next prime is 68423923. The reversal of 68423904 is 40932486.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54969 + ... + 56199.

It is an arithmetic number, because the mean of its divisors is an integer number (2718716).

Almost surely, 268423904 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 68423904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97873776).

68423904 is an abundant number, since it is smaller than the sum of its proper divisors (127323648).

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

68423904 is a wasteful number, since it uses less digits than its factorization.

68423904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 68423904 is about 8271.8742737061. The cubic root of 68423904 is about 409.0119057675.

The spelling of 68423904 in words is "sixty-eight million, four hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 193 288 386 579 772 1158 1231 1544 1737 2316 2462 3088 3474 3693 4632 4924 6176 6948 7386 9264 9848 11079 13896 14772 18528 19696 22158 27792 29544 39392 44316 55584 59088 88632 118176 177264 237583 354528 475166 712749 950332 1425498 1900664 2138247 2850996 3801328 4276494 5701992 7602656 8552988 11403984 17105976 22807968 34211952 68423904