[go: up one dir, main page]

Search a number
-
+
14746212 = 223613389
BaseRepresentation
bin111000010000…
…001001100100
31000202012000000
4320100021210
512233334322
61244021300
7236224605
oct70201144
930665000
1014746212
118362058
124b31830
133093c90
141d5bdac
1514643ac
hexe10264

14746212 has 84 divisors (see below), whose sum is σ = 41774460. Its totient is φ = 4525632.

The previous prime is 14746211. The next prime is 14746213. The reversal of 14746212 is 21264741.

It is an interprime number because it is at equal distance from previous prime (14746211) and next prime (14746213).

It can be written as a sum of positive squares in 2 ways, for example, as 2802276 + 11943936 = 1674^2 + 3456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14746211) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 37714 + ... + 38102.

It is an arithmetic number, because the mean of its divisors is an integer number (497315).

Almost surely, 214746212 is an apocalyptic number.

14746212 is a gapful number since it is divisible by the number (12) 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 14746212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20887230).

14746212 is an abundant number, since it is smaller than the sum of its proper divisors (27028248).

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

14746212 is a wasteful number, since it uses less digits than its factorization.

14746212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 14746212 is about 3840.0796866732. The cubic root of 14746212 is about 245.2224108347. Note that the first 3 decimals are identical.

The spelling of 14746212 in words is "fourteen million, seven hundred forty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 389 468 486 702 729 778 972 1053 1167 1404 1458 1556 2106 2334 2916 3159 3501 4212 4668 5057 6318 7002 9477 10114 10503 12636 14004 15171 18954 20228 21006 30342 31509 37908 42012 45513 60684 63018 91026 94527 126036 136539 182052 189054 273078 283581 378108 409617 546156 567162 819234 1134324 1228851 1638468 2457702 3686553 4915404 7373106 14746212