Search a number
-
+
68026000 = 2453743113
BaseRepresentation
bin1000000110111…
…11111010010000
311202000002010111
410003133322100
5114403313000
610430011104
71454132350
oct403377220
9152002114
1068026000
1135442a39
121a946a94
131112a193
14906ab60
155e8acba
hex40dfe90

68026000 has 160 divisors (see below), whose sum is σ = 194059008. Its totient is φ = 22579200.

The previous prime is 68025983. The next prime is 68026009. The reversal of 68026000 is 62086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68026009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601944 + ... + 602056.

Almost surely, 268026000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97029504).

68026000 is an abundant number, since it is smaller than the sum of its proper divisors (126033008).

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

68026000 is a wasteful number, since it uses less digits than its factorization.

68026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 68026000 is about 8247.7875821338. The cubic root of 68026000 is about 408.2175246574.

Adding to 68026000 its reverse (62086), we get a palindrome (68088086).

The spelling of 68026000 in words is "sixty-eight million, twenty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 43 50 56 70 80 86 100 112 113 125 140 172 175 200 215 226 250 280 301 344 350 400 430 452 500 560 565 602 688 700 791 860 875 904 1000 1075 1130 1204 1400 1505 1582 1720 1750 1808 2000 2150 2260 2408 2800 2825 3010 3164 3440 3500 3955 4300 4520 4816 4859 5375 5650 6020 6328 7000 7525 7910 8600 9040 9718 10750 11300 12040 12656 14000 14125 15050 15820 17200 19436 19775 21500 22600 24080 24295 28250 30100 31640 34013 37625 38872 39550 43000 45200 48590 56500 60200 63280 68026 75250 77744 79100 86000 97180 98875 113000 120400 121475 136052 150500 158200 170065 194360 197750 226000 242950 272104 301000 316400 340130 388720 395500 485900 544208 602000 607375 680260 791000 850325 971800 1214750 1360520 1582000 1700650 1943600 2429500 2721040 3401300 4251625 4859000 6802600 8503250 9718000 13605200 17006500 34013000 68026000