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14134632 = 23319139223
BaseRepresentation
bin110101111010…
…110101101000
3222121010001220
4311322311220
512104302012
61222542040
7231066561
oct65726550
928533056
1014134632
117a84616
124897920
132c0b7b5
141c3d168
15139308c
hexd7ad68

14134632 has 64 divisors (see below), whose sum is σ = 37632000. Its totient is φ = 4411584.

The previous prime is 14134621. The next prime is 14134643. The reversal of 14134632 is 23643141.

It is an interprime number because it is at equal distance from previous prime (14134621) and next prime (14134643).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 63273 + ... + 63495.

It is an arithmetic number, because the mean of its divisors is an integer number (588000).

Almost surely, 214134632 is an apocalyptic number.

14134632 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 14134632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816000).

14134632 is an abundant number, since it is smaller than the sum of its proper divisors (23497368).

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

14134632 is a wasteful number, since it uses less digits than its factorization.

14134632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 386 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 14134632 is about 3759.6052984323. The cubic root of 14134632 is about 241.7843398919.

Adding to 14134632 its reverse (23643141), we get a palindrome (37777773).

The spelling of 14134632 in words is "fourteen million, one hundred thirty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 139 152 223 228 278 417 446 456 556 669 834 892 1112 1338 1668 1784 2641 2676 3336 4237 5282 5352 7923 8474 10564 12711 15846 16948 21128 25422 30997 31692 33896 50844 61994 63384 92991 101688 123988 185982 247976 371964 588943 743928 1177886 1766829 2355772 3533658 4711544 7067316 14134632