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11533914 = 234721453
BaseRepresentation
bin101011111111…
…111001011010
3210200222120000
4223333321122
510423041124
61051113430
7200015400
oct53777132
923628500
1011533914
116568667
123a42876
13250ab02
141763470
15102c6c9
hexaffe5a

11533914 has 60 divisors (see below), whose sum is σ = 30084714. Its totient is φ = 3293136.

The previous prime is 11533889. The next prime is 11533919. The reversal of 11533914 is 41933511.

It can be written as a sum of positive squares in only one way, i.e., 6671889 + 4862025 = 2583^2 + 2205^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11533919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7212 + ... + 8664.

Almost surely, 211533914 is an apocalyptic number.

11533914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11533914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15042357).

11533914 is an abundant number, since it is smaller than the sum of its proper divisors (18550800).

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

11533914 is a wasteful number, since it uses less digits than its factorization.

11533914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1465 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 11533914 is about 3396.1616569298. The cubic root of 11533914 is about 225.9395379544.

The spelling of 11533914 in words is "eleven million, five hundred thirty-three thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 1453 2646 2906 3969 4359 7938 8718 10171 13077 20342 26154 30513 39231 61026 71197 78462 91539 117693 142394 183078 213591 235386 274617 427182 549234 640773 823851 1281546 1647702 1922319 3844638 5766957 11533914