Search a number
-
+
14870310 = 2357132419
BaseRepresentation
bin111000101110…
…011100100110
31000222111020020
4320232130212
512301322220
61250420010
7240252450
oct70563446
930874206
1014870310
118437314
124b91606
133108600
141d912d0
15148b040
hexe2e726

14870310 has 96 divisors (see below), whose sum is σ = 44271360. Its totient is φ = 3129984.

The previous prime is 14870299. The next prime is 14870333. The reversal of 14870310 is 1307841.

It is a super-2 number, since 2×148703102 = 442252238992200, which contains 22 as substring.

It is a congruent number.

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, 35281 + ... + 35699.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 214870310 is an apocalyptic number.

14870310 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 14870310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22135680).

14870310 is an abundant number, since it is smaller than the sum of its proper divisors (29401050).

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

14870310 is a wasteful number, since it uses less digits than its factorization.

14870310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 14870310 is about 3856.2040921092. The cubic root of 14870310 is about 245.9083867999.

The spelling of 14870310 in words is "fourteen million, eight hundred seventy thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 419 455 507 546 838 845 910 1014 1183 1257 1365 1690 2095 2366 2514 2535 2730 2933 3549 4190 5070 5447 5866 5915 6285 7098 8799 10894 11830 12570 14665 16341 17598 17745 27235 29330 32682 35490 38129 43995 54470 70811 76258 81705 87990 114387 141622 163410 190645 212433 228774 354055 381290 424866 495677 571935 708110 991354 1062165 1143870 1487031 2124330 2478385 2974062 4956770 7435155 14870310