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68426100 = 22335225343
BaseRepresentation
bin1000001010000…
…01100101110100
311202202101222000
410011001211310
5120004113400
610442335300
71460420001
oct405014564
9152671860
1068426100
11356965a6
121aaba530
131123a322
1491328a8
156019600
hex4141974

68426100 has 72 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 18246240.

The previous prime is 68426063. The next prime is 68426101. The reversal of 68426100 is 162486.

68426100 is a `hidden beast` number, since 6 + 8 + 42 + 610 + 0 = 666.

It is a super-2 number, since 2×684261002 = 9364262322420000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68426101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9972 + ... + 15371.

It is an arithmetic number, because the mean of its divisors is an integer number (3055360).

Almost surely, 268426100 is an apocalyptic number.

68426100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68426100 is an abundant number, since it is smaller than the sum of its proper divisors (151559820).

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

68426100 is a wasteful number, since it uses less digits than its factorization.

68426100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25366 (or 25353 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68426100 is about 8272.0070116024. The cubic root of 68426100 is about 409.0162813365.

Adding to 68426100 its reverse (162486), we get a palindrome (68588586).

The spelling of 68426100 in words is "sixty-eight million, four hundred twenty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 25343 50686 76029 101372 126715 152058 228087 253430 304116 380145 456174 506860 633575 684261 760290 912348 1140435 1267150 1368522 1520580 1900725 2280870 2534300 2737044 3421305 3801450 4561740 5702175 6842610 7602900 11404350 13685220 17106525 22808700 34213050 68426100