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11430432 = 2532134371
BaseRepresentation
bin101011100110…
…101000100000
3210111201121100
4223212220200
510411233212
61044554400
7166104606
oct53465040
923451540
1011430432
1164a7942
1239b2a00
1324a2990
141737876
15100bbdc
hexae6a20

11430432 has 144 divisors (see below), whose sum is σ = 36324288. Its totient is φ = 3386880.

The previous prime is 11430421. The next prime is 11430449. The reversal of 11430432 is 23403411.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160957 + ... + 161027.

It is an arithmetic number, because the mean of its divisors is an integer number (252252).

Almost surely, 211430432 is an apocalyptic number.

11430432 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 11430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144).

11430432 is an abundant number, since it is smaller than the sum of its proper divisors (24893856).

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

11430432 is a wasteful number, since it uses less digits than its factorization.

11430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

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

The square root of 11430432 is about 3380.8921899404. The cubic root of 11430432 is about 225.2617989691.

Adding to 11430432 its reverse (23403411), we get a palindrome (34833843).

The spelling of 11430432 in words is "eleven million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 71 72 78 86 96 104 117 129 142 144 156 172 208 213 234 258 284 288 312 344 387 416 426 468 516 559 568 624 639 688 774 852 923 936 1032 1118 1136 1248 1278 1376 1548 1677 1704 1846 1872 2064 2236 2272 2556 2769 3053 3096 3354 3408 3692 3744 4128 4472 5031 5112 5538 6106 6192 6708 6816 7384 8307 8944 9159 10062 10224 11076 12212 12384 13416 14768 16614 17888 18318 20124 20448 22152 24424 26832 27477 29536 33228 36636 39689 40248 44304 48848 53664 54954 66456 73272 79378 80496 88608 97696 109908 119067 132912 146544 158756 160992 219816 238134 265824 293088 317512 357201 439632 476268 635024 714402 879264 952536 1270048 1428804 1905072 2857608 3810144 5715216 11430432