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104768220 = 22352331279
BaseRepresentation
bin1100011111010…
…10001011011100
321022010202222110
412033222023130
5203310040340
614221314020
72411341464
oct617521334
9238122873
10104768220
1154158a07
122b105910
1318922c3b
14dcb2ba4
1592e7680
hex63ea2dc

104768220 has 144 divisors (see below), whose sum is σ = 320302080. Its totient is φ = 25534080.

The previous prime is 104768177. The next prime is 104768231. The reversal of 104768220 is 22867401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1326141 + ... + 1326219.

It is an arithmetic number, because the mean of its divisors is an integer number (2224320).

Almost surely, 2104768220 is an apocalyptic number.

104768220 is a gapful number since it is divisible by the number (10) 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 104768220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160151040).

104768220 is an abundant number, since it is smaller than the sum of its proper divisors (215533860).

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

104768220 is a wasteful number, since it uses less digits than its factorization.

104768220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 104768220 is about 10235.6348117740. The cubic root of 104768220 is about 471.4220098785.

The spelling of 104768220 in words is "one hundred four million, seven hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 79 92 93 115 124 138 155 158 186 230 237 276 310 316 345 372 395 460 465 474 620 690 713 790 930 948 961 1185 1380 1426 1580 1817 1860 1922 2139 2370 2449 2852 2883 3565 3634 3844 4278 4740 4805 4898 5451 5766 7130 7268 7347 8556 9085 9610 9796 10695 10902 11532 12245 14260 14415 14694 18170 19220 21390 21804 22103 24490 27255 28830 29388 36340 36735 42780 44206 48980 54510 56327 57660 66309 73470 75919 88412 109020 110515 112654 132618 146940 151838 168981 221030 225308 227757 265236 281635 303676 331545 337962 379595 442060 455514 563270 663090 675924 759190 844905 911028 1126540 1138785 1326180 1518380 1689810 1746137 2277570 3379620 3492274 4555140 5238411 6984548 8730685 10476822 17461370 20953644 26192055 34922740 52384110 104768220