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11394432 = 27347157
BaseRepresentation
bin101011011101…
…110110000000
3210102220020000
4223131312000
510404110212
61044120000
7165564630
oct53356600
923386200
1011394432
116482895
123996000
13248c48a
1417286c0
1510011dc
hexaddd80

11394432 has 160 divisors (see below), whose sum is σ = 39000720. Its totient is φ = 3234816.

The previous prime is 11394431. The next prime is 11394443. The reversal of 11394432 is 23449311.

11394432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11394396 and 11394405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11394431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72498 + ... + 72654.

Almost surely, 211394432 is an apocalyptic number.

11394432 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 11394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19500360).

11394432 is an abundant number, since it is smaller than the sum of its proper divisors (27606288).

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

11394432 is an equidigital number, since it uses as much as digits as its factorization.

11394432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 11394432 is about 3375.5639528825. The cubic root of 11394432 is about 225.0250638746.

The spelling of 11394432 in words is "eleven million, three hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 157 162 168 189 192 216 224 252 288 314 324 336 378 384 432 448 471 504 567 576 628 648 672 756 864 896 942 1008 1099 1134 1152 1256 1296 1344 1413 1512 1728 1884 2016 2198 2268 2512 2592 2688 2826 3024 3297 3456 3768 4032 4239 4396 4536 5024 5184 5652 6048 6594 7536 8064 8478 8792 9072 9891 10048 10368 11304 12096 12717 13188 15072 16956 17584 18144 19782 20096 22608 24192 25434 26376 29673 30144 33912 35168 36288 39564 45216 50868 52752 59346 60288 67824 70336 72576 79128 89019 90432 101736 105504 118692 135648 140672 158256 178038 180864 203472 211008 237384 271296 316512 356076 406944 422016 474768 542592 633024 712152 813888 949536 1266048 1424304 1627776 1899072 2848608 3798144 5697216 11394432