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68904780 = 223572231019
BaseRepresentation
bin1000001101101…
…10011101001100
311210122201120220
410012312131030
5120114423110
610500511340
71464452400
oct406663514
9153581526
1068904780
11359931aa
121b0ab550
1311377179
149219100
1560b1370
hex41b674c

68904780 has 144 divisors (see below), whose sum is σ = 234420480. Its totient is φ = 15050112.

The previous prime is 68904769. The next prime is 68904833. The reversal of 68904780 is 8740986.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 67111 + ... + 68129.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 268904780 is an apocalyptic number.

68904780 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 68904780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

68904780 is an abundant number, since it is smaller than the sum of its proper divisors (165515700).

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

68904780 is a wasteful number, since it uses less digits than its factorization.

68904780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 68904780 is about 8300.8903136953. The cubic root of 68904780 is about 409.9678340817.

The spelling of 68904780 in words is "sixty-eight million, nine hundred four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 49 60 69 70 84 92 98 105 115 138 140 147 161 196 210 230 245 276 294 322 345 420 460 483 490 588 644 690 735 805 966 980 1019 1127 1380 1470 1610 1932 2038 2254 2415 2940 3057 3220 3381 4076 4508 4830 5095 5635 6114 6762 7133 9660 10190 11270 12228 13524 14266 15285 16905 20380 21399 22540 23437 28532 30570 33810 35665 42798 46874 49931 61140 67620 70311 71330 85596 93748 99862 106995 117185 140622 142660 149793 164059 199724 213990 234370 249655 281244 299586 328118 351555 427980 468740 492177 499310 599172 656236 703110 748965 820295 984354 998620 1148413 1406220 1497930 1640590 1968708 2296826 2460885 2995860 3281180 3445239 4593652 4921770 5742065 6890478 9843540 11484130 13780956 17226195 22968260 34452390 68904780