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68623650 = 23252732089
BaseRepresentation
bin1000001011100…
…01110100100010
311210010102221200
410011301310202
5120031424100
610450502030
71462201644
oct405616442
9153112850
1068623650
1135810a67
121ab94916
13112a9214
149184894
156057e00
hex4171d22

68623650 has 72 divisors (see below), whose sum is σ = 186983940. Its totient is φ = 18040320.

The previous prime is 68623637. The next prime is 68623661. The reversal of 68623650 is 5632686.

It can be written as a sum of positive squares in 6 ways, for example, as 41718681 + 26904969 = 6459^2 + 5187^2 .

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 35 ways as a sum of consecutive naturals, for example, 31806 + ... + 33894.

Almost surely, 268623650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68623650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93491970).

68623650 is an abundant number, since it is smaller than the sum of its proper divisors (118360290).

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

68623650 is a wasteful number, since it uses less digits than its factorization.

68623650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 68623650 is about 8283.9392803183. The cubic root of 68623650 is about 409.4095208152.

It can be divided in two parts, 686 and 23650, that added together give a square (24336 = 1562).

The spelling of 68623650 in words is "sixty-eight million, six hundred twenty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 146 150 219 225 365 438 450 657 730 1095 1314 1825 2089 2190 3285 3650 4178 5475 6267 6570 10445 10950 12534 16425 18801 20890 31335 32850 37602 52225 62670 94005 104450 152497 156675 188010 304994 313350 457491 470025 762485 914982 940050 1372473 1524970 2287455 2744946 3812425 4574910 6862365 7624850 11437275 13724730 22874550 34311825 68623650