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11168352 = 25321319157
BaseRepresentation
bin101010100110…
…101001100000
3210000102002200
4222212221200
510324341402
61035213200
7163633536
oct52465140
923012080
1011168352
116338a48
1238a7200
1324105c0
1416aa156
15ea921c
hexaa6a60

11168352 has 144 divisors (see below), whose sum is σ = 36232560. Its totient is φ = 3234816.

The previous prime is 11168351. The next prime is 11168357. The reversal of 11168352 is 25386111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11168351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71058 + ... + 71214.

It is an arithmetic number, because the mean of its divisors is an integer number (251615).

Almost surely, 211168352 is an apocalyptic number.

11168352 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 11168352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18116280).

11168352 is an abundant number, since it is smaller than the sum of its proper divisors (25064208).

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

11168352 is a wasteful number, since it uses less digits than its factorization.

11168352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11168352 is about 3341.9084368067. The cubic root of 11168352 is about 223.5268499190.

The spelling of 11168352 in words is "eleven million, one hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 157 171 208 228 234 247 288 304 312 314 342 416 456 468 471 494 608 624 628 684 741 912 936 942 988 1248 1256 1368 1413 1482 1824 1872 1884 1976 2041 2223 2512 2736 2826 2964 2983 3744 3768 3952 4082 4446 5024 5472 5652 5928 5966 6123 7536 7904 8164 8892 8949 11304 11856 11932 12246 15072 16328 17784 17898 18369 22608 23712 23864 24492 26847 32656 35568 35796 36738 38779 45216 47728 48984 53694 65312 71136 71592 73476 77558 95456 97968 107388 116337 143184 146952 155116 195936 214776 232674 286368 293904 310232 349011 429552 465348 587808 620464 698022 859104 930696 1240928 1396044 1861392 2792088 3722784 5584176 11168352