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91133406 = 232713234159
BaseRepresentation
bin1010110111010…
…01010111011110
320100111001112100
411123221113132
5141312232111
613013145530
72154423030
oct533512736
9210431470
1091133406
1147495971
122662b2a6
1315b5aac0
14c163c50
158002756
hex56e95de

91133406 has 192 divisors, whose sum is σ = 264176640. Its totient is φ = 22049280.

The previous prime is 91133401. The next prime is 91133417. The reversal of 91133406 is 60433119.

It is a self number, because there is not a number n which added to its sum of digits gives 91133406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91133401) 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 95 ways as a sum of consecutive naturals, for example, 1544605 + ... + 1544663.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 291133406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91133406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

91133406 is an abundant number, since it is smaller than the sum of its proper divisors (173043234).

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

91133406 is a wasteful number, since it uses less digits than its factorization.

91133406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 91133406 is about 9546.3818276874. The cubic root of 91133406 is about 450.0138366116.

The spelling of 91133406 in words is "ninety-one million, one hundred thirty-three thousand, four hundred six".