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11534292 = 22337111973
BaseRepresentation
bin101011111111…
…111111010100
3210201000002000
4223333333110
510423044132
61051115300
7200016450
oct53777724
923630060
1011534292
116568980
123a42b30
13250b033
141763660
15102c87c
hexafffd4

11534292 has 192 divisors, whose sum is σ = 39782400. Its totient is φ = 2799360.

The previous prime is 11534291. The next prime is 11534309. The reversal of 11534292 is 29243511.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11534291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157968 + ... + 158040.

It is an arithmetic number, because the mean of its divisors is an integer number (207200).

Almost surely, 211534292 is an apocalyptic number.

11534292 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 11534292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891200).

11534292 is an abundant number, since it is smaller than the sum of its proper divisors (28248108).

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

11534292 is a wasteful number, since it uses less digits than its factorization.

11534292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 11534292 is about 3396.2173075350. The cubic root of 11534292 is about 225.9420061600.

It can be divided in two parts, 1153 and 4292, that added together give a palindrome (5445).

The spelling of 11534292 in words is "eleven million, five hundred thirty-four thousand, two hundred ninety-two".