Search a number
-
+
107304210 = 233513191609
BaseRepresentation
bin1100110010101…
…01010100010010
321110220121201000
412121111110102
5204432213320
614351522430
72442033156
oct631252422
9243817630
10107304210
1155630272
122bb29416
1319300320
1410373066
159648c90
hex6655512

107304210 has 128 divisors (see below), whose sum is σ = 324576000. Its totient is φ = 25007616.

The previous prime is 107304209. The next prime is 107304227. The reversal of 107304210 is 12403701.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65886 + ... + 67494.

It is an arithmetic number, because the mean of its divisors is an integer number (2535750).

Almost surely, 2107304210 is an apocalyptic number.

107304210 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 107304210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162288000).

107304210 is an abundant number, since it is smaller than the sum of its proper divisors (217271790).

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

107304210 is a wasteful number, since it uses less digits than its factorization.

107304210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 107304210 is about 10358.7745414214. The cubic root of 107304210 is about 475.1954283562.

Adding to 107304210 its reverse (12403701), we get a palindrome (119707911).

The spelling of 107304210 in words is "one hundred seven million, three hundred four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 90 95 114 117 130 135 171 190 195 234 247 270 285 342 351 390 494 513 570 585 702 741 855 1026 1170 1235 1482 1609 1710 1755 2223 2470 2565 3218 3510 3705 4446 4827 5130 6669 7410 8045 9654 11115 13338 14481 16090 20917 22230 24135 28962 30571 33345 41834 43443 48270 61142 62751 66690 72405 86886 91713 104585 125502 144810 152855 183426 188253 209170 217215 275139 305710 313755 376506 397423 434430 458565 550278 564759 627510 794846 825417 917130 941265 1129518 1192269 1375695 1650834 1882530 1987115 2384538 2751390 2823795 3576807 3974230 4127085 5647590 5961345 7153614 8254170 10730421 11922690 17884035 21460842 35768070 53652105 107304210