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68880600 = 233252172251
BaseRepresentation
bin1000001101100…
…00100011011000
311210121111102100
410012300203120
5120113134400
610500203400
71464322035
oct406604330
9153544370
1068880600
1135977018
121b099560
1311369169
14921038c
1560a9100
hex41b08d8

68880600 has 144 divisors (see below), whose sum is σ = 245040120. Its totient is φ = 17280000.

The previous prime is 68880599. The next prime is 68880611. The reversal of 68880600 is 608886.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29475 + ... + 31725.

Almost surely, 268880600 is an apocalyptic number.

68880600 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 68880600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122520060).

68880600 is an abundant number, since it is smaller than the sum of its proper divisors (176159520).

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

68880600 is a wasteful number, since it uses less digits than its factorization.

68880600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 68880600 is about 8299.4337156218. The cubic root of 68880600 is about 409.9198732968.

The spelling of 68880600 in words is "sixty-eight million, eight hundred eighty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 300 306 340 360 408 425 450 510 600 612 680 765 850 900 1020 1224 1275 1530 1700 1800 2040 2251 2550 3060 3400 3825 4502 5100 6120 6753 7650 9004 10200 11255 13506 15300 18008 20259 22510 27012 30600 33765 38267 40518 45020 54024 56275 67530 76534 81036 90040 101295 112550 114801 135060 153068 162072 168825 191335 202590 225100 229602 270120 306136 337650 344403 382670 405180 450200 459204 506475 574005 675300 688806 765340 810360 918408 956675 1012950 1148010 1350600 1377612 1530680 1722015 1913350 2025900 2296020 2755224 2870025 3444030 3826700 4051800 4592040 5740050 6888060 7653400 8610075 11480100 13776120 17220150 22960200 34440300 68880600