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68705820 = 2235567211
BaseRepresentation
bin1000001100001…
…01111000011100
311210021121200000
410012011320130
5120042041240
610452334300
71462663341
oct406057034
9153247600
1068705820
1135867777
121b014390
1311307741
1491a67c8
156072430
hex4185e1c

68705820 has 144 divisors (see below), whose sum is σ = 220391808. Its totient is φ = 17962560.

The previous prime is 68705783. The next prime is 68705831. The reversal of 68705820 is 2850786.

68705820 is a `hidden beast` number, since 6 + 8 + 70 + 582 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325515 + ... + 325725.

Almost surely, 268705820 is an apocalyptic number.

68705820 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 68705820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110195904).

68705820 is an abundant number, since it is smaller than the sum of its proper divisors (151685988).

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

68705820 is a wasteful number, since it uses less digits than its factorization.

68705820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 68705820 is about 8288.8973935017. The cubic root of 68705820 is about 409.5728647058.

The spelling of 68705820 in words is "sixty-eight million, seven hundred five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 108 134 135 162 180 201 211 243 268 270 324 335 402 405 422 486 540 603 633 670 804 810 844 972 1005 1055 1206 1215 1266 1340 1620 1809 1899 2010 2110 2412 2430 2532 3015 3165 3618 3798 4020 4220 4860 5427 5697 6030 6330 7236 7596 9045 9495 10854 11394 12060 12660 14137 16281 17091 18090 18990 21708 22788 27135 28274 28485 32562 34182 36180 37980 42411 51273 54270 56548 56970 65124 68364 70685 81405 84822 85455 102546 108540 113940 127233 141370 162810 169644 170910 205092 212055 254466 256365 282740 325620 341820 381699 424110 508932 512730 636165 763398 848220 1025460 1145097 1272330 1526796 1908495 2290194 2544660 3435291 3816990 4580388 5725485 6870582 7633980 11450970 13741164 17176455 22901940 34352910 68705820