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68970825 = 33527111327
BaseRepresentation
bin1000001110001…
…10100101001001
311210210002012000
410013012211021
5120124031300
610502141213
71465146060
oct407064511
9153702160
1068970825
1135a28890
121b121809
131139b251
1492351d7
1560c5c00
hex41c6949

68970825 has 96 divisors (see below), whose sum is σ = 158085120. Its totient is φ = 28641600.

The previous prime is 68970821. The next prime is 68970829. The reversal of 68970825 is 52807986.

It is an interprime number because it is at equal distance from previous prime (68970821) and next prime (68970829).

It is not a de Polignac number, because 68970825 - 22 = 68970821 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (68970821) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 51312 + ... + 52638.

It is an arithmetic number, because the mean of its divisors is an integer number (1646720).

Almost surely, 268970825 is an apocalyptic number.

It is an amenable number.

68970825 is an abundant number, since it is smaller than the sum of its proper divisors (89114295).

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

68970825 is a wasteful number, since it uses less digits than its factorization.

68970825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 68970825 is about 8304.8675486127. The cubic root of 68970825 is about 410.0987765183.

The spelling of 68970825 in words is "sixty-eight million, nine hundred seventy thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 99 105 135 165 175 189 225 231 275 297 315 385 495 525 675 693 825 945 1155 1327 1485 1575 1925 2079 2475 3465 3981 4725 5775 6635 7425 9289 10395 11943 14597 17325 19905 27867 33175 35829 43791 46445 51975 59715 72985 83601 99525 102179 131373 139335 179145 218955 232225 250803 298575 306537 364925 394119 418005 510895 656865 696675 895725 919611 1094775 1254015 1532685 1970595 2090025 2554475 2758833 3284325 4598055 6270075 7663425 9852975 13794165 22990275 68970825