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11901152 = 254147193
BaseRepresentation
bin101101011001…
…100011100000
3211101122022102
4231121203200
511021314102
61103025532
7203105144
oct55314340
924348272
1011901152
11679956a
123b9b2a8
132609003
14181b224
1510a1402
hexb598e0

11901152 has 48 divisors (see below), whose sum is σ = 24639552. Its totient is φ = 5652480.

The previous prime is 11901151. The next prime is 11901157. The reversal of 11901152 is 25110911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11901151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61568 + ... + 61760.

It is an arithmetic number, because the mean of its divisors is an integer number (513324).

Almost surely, 211901152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11901152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319776).

11901152 is an abundant number, since it is smaller than the sum of its proper divisors (12738400).

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

11901152 is a wasteful number, since it uses less digits than its factorization.

11901152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 20.

The square root of 11901152 is about 3449.8046321495. The cubic root of 11901152 is about 228.3124883144.

The spelling of 11901152 in words is "eleven million, nine hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 47 82 94 164 188 193 328 376 386 656 752 772 1312 1504 1544 1927 3088 3854 6176 7708 7913 9071 15416 15826 18142 30832 31652 36284 61664 63304 72568 126608 145136 253216 290272 371911 743822 1487644 2975288 5950576 11901152