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104950350 = 23352172269
BaseRepresentation
bin1100100000101…
…10101001001110
321022111000211000
412100112221032
5203331402400
614225241130
72413030461
oct620265116
9238430730
10104950350
115427282a
122b1931a6
1318987acb
14dd1d2d8
159331600
hex6416a4e

104950350 has 144 divisors (see below), whose sum is σ = 308350800. Its totient is φ = 26242560.

The previous prime is 104950331. The next prime is 104950361. The reversal of 104950350 is 53059401.

104950350 is a `hidden beast` number, since 104 + 9 + 503 + 50 = 666.

It is a super-2 number, since 2×1049503502 = 22029151930245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 390016 + ... + 390284.

It is an arithmetic number, because the mean of its divisors is an integer number (2141325).

Almost surely, 2104950350 is an apocalyptic number.

104950350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104950350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154175400).

104950350 is an abundant number, since it is smaller than the sum of its proper divisors (203400450).

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

104950350 is a wasteful number, since it uses less digits than its factorization.

104950350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 104950350 is about 10244.5278075663. The cubic root of 104950350 is about 471.6950264648.

The spelling of 104950350 in words is "one hundred four million, nine hundred fifty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 85 90 102 135 150 153 170 225 255 269 270 289 306 425 450 459 510 538 578 675 765 807 850 867 918 1275 1345 1350 1445 1530 1614 1734 2295 2421 2550 2601 2690 2890 3825 4035 4335 4573 4590 4842 5202 6725 7225 7263 7650 7803 8070 8670 9146 11475 12105 13005 13450 13719 14450 14526 15606 20175 21675 22865 22950 24210 26010 27438 36315 39015 40350 41157 43350 45730 60525 65025 68595 72630 77741 78030 82314 114325 121050 123471 130050 137190 155482 181575 195075 205785 228650 233223 246942 342975 363150 388705 390150 411570 466446 617355 685950 699669 777410 1028925 1166115 1234710 1399338 1943525 2057850 2099007 2332230 3086775 3498345 3887050 4198014 5830575 6173550 6996690 10495035 11661150 17491725 20990070 34983450 52475175 104950350