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14687420 = 22511101661
BaseRepresentation
bin111000000001…
…110010111100
31000122012100112
4320001302330
512224444140
61242445152
7235561316
oct70016274
930565315
1014687420
118321970
124b037b8
1330732a7
141d447b6
151451c65
hexe01cbc

14687420 has 48 divisors (see below), whose sum is σ = 34032096. Its totient is φ = 5280000.

The previous prime is 14687411. The next prime is 14687429. The reversal of 14687420 is 2478641.

It is an interprime number because it is at equal distance from previous prime (14687411) and next prime (14687429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14687429) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21890 + ... + 22550.

It is an arithmetic number, because the mean of its divisors is an integer number (709002).

Almost surely, 214687420 is an apocalyptic number.

14687420 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 14687420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17016048).

14687420 is an abundant number, since it is smaller than the sum of its proper divisors (19344676).

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

14687420 is a wasteful number, since it uses less digits than its factorization.

14687420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 14687420 is about 3832.4169919256. The cubic root of 14687420 is about 244.8960825433.

It can be divided in two parts, 1468 and 7420, that added together give a palindrome (8888).

The spelling of 14687420 in words is "fourteen million, six hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 661 1010 1111 1322 2020 2222 2644 3305 4444 5555 6610 7271 11110 13220 14542 22220 29084 36355 66761 72710 133522 145420 267044 333805 667610 734371 1335220 1468742 2937484 3671855 7343710 14687420