Search a number
-
+
14676420 = 22351137601
BaseRepresentation
bin110111111111…
…000111000100
31000121122021010
4313333013010
512224121140
61242322220
7235514253
oct67770704
930548233
1014676420
118314680
124ab9370
13306b295
141d4079a
15144d880
hexdff1c4

14676420 has 96 divisors (see below), whose sum is σ = 46118016. Its totient is φ = 3456000.

The previous prime is 14676419. The next prime is 14676421. The reversal of 14676420 is 2467641.

It is an interprime number because it is at equal distance from previous prime (14676419) and next prime (14676421).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14676421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24120 + ... + 24720.

It is an arithmetic number, because the mean of its divisors is an integer number (480396).

Almost surely, 214676420 is an apocalyptic number.

14676420 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 14676420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23059008).

14676420 is an abundant number, since it is smaller than the sum of its proper divisors (31441596).

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

14676420 is a wasteful number, since it uses less digits than its factorization.

14676420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 14676420 is about 3830.9815974499. The cubic root of 14676420 is about 244.8349297631.

It can be divided in two parts, 1467 and 6420, that added together give a palindrome (7887).

The spelling of 14676420 in words is "fourteen million, six hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 601 660 740 814 1110 1202 1221 1628 1803 2035 2220 2404 2442 3005 3606 4070 4884 6010 6105 6611 7212 8140 9015 12020 12210 13222 18030 19833 22237 24420 26444 33055 36060 39666 44474 66110 66711 79332 88948 99165 111185 132220 133422 198330 222370 244607 266844 333555 396660 444740 489214 667110 733821 978428 1223035 1334220 1467642 2446070 2935284 3669105 4892140 7338210 14676420