Search a number
-
+
14029600 = 2552131971
BaseRepresentation
bin110101100001…
…001100100000
3222101202222211
4311201030200
512042421400
61220411504
7230151424
oct65411440
928352884
1014029600
117a12712
124846b94
132ba2a50
141c12b84
151371dba
hexd61320

14029600 has 144 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 4838400.

The previous prime is 14029597. The next prime is 14029627. The reversal of 14029600 is 692041.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197565 + ... + 197635.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 214029600 is an apocalyptic number.

14029600 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 14029600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

14029600 is an abundant number, since it is smaller than the sum of its proper divisors (25342880).

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

14029600 is a wasteful number, since it uses less digits than its factorization.

14029600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 14029600 is about 3745.6107646150. The cubic root of 14029600 is about 241.1839644940.

The spelling of 14029600 in words is "fourteen million, twenty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 65 71 76 80 95 100 104 130 142 152 160 190 200 208 247 260 284 304 325 355 380 400 416 475 494 520 568 608 650 710 760 800 923 950 988 1040 1136 1235 1300 1349 1420 1520 1775 1846 1900 1976 2080 2272 2470 2600 2698 2840 3040 3550 3692 3800 3952 4615 4940 5200 5396 5680 6175 6745 7100 7384 7600 7904 9230 9880 10400 10792 11360 12350 13490 14200 14768 15200 17537 18460 19760 21584 23075 24700 26980 28400 29536 33725 35074 36920 39520 43168 46150 49400 53960 56800 67450 70148 73840 87685 92300 98800 107920 134900 140296 147680 175370 184600 197600 215840 269800 280592 350740 369200 438425 539600 561184 701480 738400 876850 1079200 1402960 1753700 2805920 3507400 7014800 14029600