Search a number
-
+
14812920 = 23325231789
BaseRepresentation
bin111000100000…
…011011111000
31000212120111200
4320200123320
512243003140
61245254200
7236623233
oct70403370
930776450
1014812920
1183a8191
124b64360
1330b8455
141d7841a
151479030
hexe206f8

14812920 has 96 divisors (see below), whose sum is σ = 50263200. Its totient is φ = 3776256.

The previous prime is 14812901. The next prime is 14812937. The reversal of 14812920 is 2921841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7386 + ... + 9174.

It is an arithmetic number, because the mean of its divisors is an integer number (523575).

Almost surely, 214812920 is an apocalyptic number.

14812920 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 14812920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25131600).

14812920 is an abundant number, since it is smaller than the sum of its proper divisors (35450280).

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

14812920 is a wasteful number, since it uses less digits than its factorization.

14812920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14812920 is about 3848.7556430618. The cubic root of 14812920 is about 245.5916286267.

The spelling of 14812920 in words is "fourteen million, eight hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 1789 2070 2760 3578 4140 5367 7156 8280 8945 10734 14312 16101 17890 21468 26835 32202 35780 41147 42936 53670 64404 71560 80505 82294 107340 123441 128808 161010 164588 205735 214680 246882 322020 329176 370323 411470 493764 617205 644040 740646 822940 987528 1234410 1481292 1645880 1851615 2468820 2962584 3703230 4937640 7406460 14812920