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68426220 = 223519193311
BaseRepresentation
bin1000001010000…
…01100111101100
311202202102010110
410011001213230
5120004114340
610442340020
71460420232
oct405014754
9152672113
1068426220
11356966a5
121aaba610
131123a3b5
149132952
156019680
hex41419ec

68426220 has 96 divisors (see below), whose sum is σ = 203374080. Its totient is φ = 17141760.

The previous prime is 68426213. The next prime is 68426231. The reversal of 68426220 is 2262486.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 219865 + ... + 220175.

It is an arithmetic number, because the mean of its divisors is an integer number (2118480).

Almost surely, 268426220 is an apocalyptic number.

68426220 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 68426220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101687040).

68426220 is an abundant number, since it is smaller than the sum of its proper divisors (134947860).

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

68426220 is a wasteful number, since it uses less digits than its factorization.

68426220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 68426220 is about 8272.0142649780. The cubic root of 68426220 is about 409.0165204359.

The spelling of 68426220 in words is "sixty-eight million, four hundred twenty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 193 228 285 311 380 386 570 579 622 772 933 965 1140 1158 1244 1555 1866 1930 2316 2895 3110 3667 3732 3860 4665 5790 5909 6220 7334 9330 11001 11580 11818 14668 17727 18335 18660 22002 23636 29545 35454 36670 44004 55005 59090 60023 70908 73340 88635 110010 118180 120046 177270 180069 220020 240092 300115 354540 360138 600230 720276 900345 1140437 1200460 1800690 2280874 3421311 3601380 4561748 5702185 6842622 11404370 13685244 17106555 22808740 34213110 68426220