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11714328 = 2333193281
BaseRepresentation
bin101100101011…
…111100011000
3211001011001000
4230223330120
510444324303
61055025000
7201366363
oct54537430
924034030
1011714328
11668116a
123b0b160
132571c72
1417ad0da
151065da3
hexb2bf18

11714328 has 64 divisors (see below), whose sum is σ = 32824800. Its totient is φ = 3870720.

The previous prime is 11714323. The next prime is 11714369. The reversal of 11714328 is 82341711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11714323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41548 + ... + 41828.

Almost surely, 211714328 is an apocalyptic number.

11714328 is a gapful number since it is divisible by the number (18) 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 11714328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412400).

11714328 is an abundant number, since it is smaller than the sum of its proper divisors (21110472).

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

11714328 is a wasteful number, since it uses less digits than its factorization.

11714328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 11714328 is about 3422.6200490268. The cubic root of 11714328 is about 227.1115005283. Note that the first 3 decimals are identical.

The spelling of 11714328 in words is "eleven million, seven hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 193 216 281 386 562 579 772 843 1124 1158 1544 1686 1737 2248 2316 2529 3372 3474 4632 5058 5211 6744 6948 7587 10116 10422 13896 15174 20232 20844 30348 41688 54233 60696 108466 162699 216932 325398 433864 488097 650796 976194 1301592 1464291 1952388 2928582 3904776 5857164 11714328