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68976720 = 2432595801
BaseRepresentation
bin1000001110010…
…00000001010000
311210210101021100
410013020001100
5120124223340
610502224400
71465202211
oct407100120
9153711240
1068976720
1135a3225a
121b125100
13113a0b37
149237408
1560c7830
hex41c8050

68976720 has 60 divisors (see below), whose sum is σ = 231649236. Its totient is φ = 18393600.

The previous prime is 68976697. The next prime is 68976737. The reversal of 68976720 is 2767986.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38638656 + 30338064 = 6216^2 + 5508^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 47181 + ... + 48620.

Almost surely, 268976720 is an apocalyptic number.

68976720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68976720 is an abundant number, since it is smaller than the sum of its proper divisors (162672516).

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

68976720 is a wasteful number, since it uses less digits than its factorization.

68976720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95820 (or 95811 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 68976720 is about 8305.2224533723. Note that the first 3 decimals coincide. The cubic root of 68976720 is about 410.1104600256.

It can be divided in two parts, 68976 and 720, that added together give a palindrome (69696).

The spelling of 68976720 in words is "sixty-eight million, nine hundred seventy-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 95801 191602 287403 383204 479005 574806 766408 862209 958010 1149612 1437015 1532816 1724418 1916020 2299224 2874030 3448836 3832040 4311045 4598448 5748060 6897672 7664080 8622090 11496120 13795344 17244180 22992240 34488360 68976720