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68259972 = 22311253887
BaseRepresentation
bin1000001000110…
…01000010000100
311202102222002010
410010121002010
5114433304342
610435014220
71456125444
oct404310204
9152388063
1068259972
1135592800
121aa3a370
13111ac821
1490cc124
155ed529c
hex4119084

68259972 has 72 divisors (see below), whose sum is σ = 178573248. Its totient is φ = 20271680.

The previous prime is 68259953. The next prime is 68259973. The reversal of 68259972 is 27995286.

It is not an unprimeable number, because it can be changed into a prime (68259973) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 76513 + ... + 77399.

It is an arithmetic number, because the mean of its divisors is an integer number (2480184).

Almost surely, 268259972 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 68259972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89286624).

68259972 is an abundant number, since it is smaller than the sum of its proper divisors (110313276).

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

68259972 is a wasteful number, since it uses less digits than its factorization.

68259972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 956 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 68259972 is about 8261.9593317808. The cubic root of 68259972 is about 408.6850036466.

It can be divided in two parts, 682 and 59972, that multiplied together give a palindrome (40900904).

The spelling of 68259972 in words is "sixty-eight million, two hundred fifty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 121 132 159 212 242 318 363 484 583 636 726 887 1166 1452 1749 1774 2332 2661 3498 3548 5322 6413 6996 9757 10644 12826 19239 19514 25652 29271 38478 39028 47011 58542 76956 94022 107327 117084 141033 188044 214654 282066 321981 429308 517121 564132 643962 1034242 1287924 1551363 2068484 3102726 5688331 6205452 11376662 17064993 22753324 34129986 68259972