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14630120 = 2355367103
BaseRepresentation
bin110111110011…
…110011101000
31000112021202022
4313303303220
512221130440
61241324012
7235232261
oct67636350
930467668
1014630120
11829290a
124a96608
13305319b
141d2b968
15143ecb5
hexdf3ce8

14630120 has 64 divisors (see below), whose sum is σ = 34369920. Its totient is φ = 5601024.

The previous prime is 14630111. The next prime is 14630131. The reversal of 14630120 is 2103641.

It is a super-2 number, since 2×146301202 = 428080822428800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141989 + ... + 142091.

It is an arithmetic number, because the mean of its divisors is an integer number (537030).

Almost surely, 214630120 is an apocalyptic number.

14630120 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 14630120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960).

14630120 is an abundant number, since it is smaller than the sum of its proper divisors (19739800).

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

14630120 is a wasteful number, since it uses less digits than its factorization.

14630120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 14630120 is about 3824.9339863585. The cubic root of 14630120 is about 244.5771966403.

Adding to 14630120 its reverse (2103641), we get a palindrome (16733761).

The spelling of 14630120 in words is "fourteen million, six hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 67 103 106 134 206 212 265 268 335 412 424 515 530 536 670 824 1030 1060 1340 2060 2120 2680 3551 4120 5459 6901 7102 10918 13802 14204 17755 21836 27295 27604 28408 34505 35510 43672 54590 55208 69010 71020 109180 138020 142040 218360 276040 365753 731506 1463012 1828765 2926024 3657530 7315060 14630120