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14132430 = 23251347257
BaseRepresentation
bin110101111010…
…010011001110
3222121000001100
4311322103032
512104214210
61222523530
7231060264
oct65722316
928530040
1014132430
117a829a4
1248965a6
132c0a7b0
141c3c434
1513925c0
hexd7a4ce

14132430 has 96 divisors (see below), whose sum is σ = 40569984. Its totient is φ = 3391488.

The previous prime is 14132429. The next prime is 14132431. The reversal of 14132430 is 3423141.

It is an interprime number because it is at equal distance from previous prime (14132429) and next prime (14132431).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54862 + ... + 55118.

It is an arithmetic number, because the mean of its divisors is an integer number (422604).

Almost surely, 214132430 is an apocalyptic number.

14132430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14132430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284992).

14132430 is an abundant number, since it is smaller than the sum of its proper divisors (26437554).

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

14132430 is a wasteful number, since it uses less digits than its factorization.

14132430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14132430 is about 3759.3124371353. The cubic root of 14132430 is about 241.7717835748.

Adding to 14132430 its reverse (3423141), we get a palindrome (17555571).

The spelling of 14132430 in words is "fourteen million, one hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 47 65 78 90 94 117 130 141 195 234 235 257 282 390 423 470 514 585 611 705 771 846 1170 1222 1285 1410 1542 1833 2115 2313 2570 3055 3341 3666 3855 4230 4626 5499 6110 6682 7710 9165 10023 10998 11565 12079 16705 18330 20046 23130 24158 27495 30069 33410 36237 50115 54990 60138 60395 72474 100230 108711 120790 150345 157027 181185 217422 300690 314054 362370 471081 543555 785135 942162 1087110 1413243 1570270 2355405 2826486 4710810 7066215 14132430