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24132066 = 2373753293
BaseRepresentation
bin101110000001…
…1100111100010
31200102000222020
41130003213202
522134211231
62221122310
7412055610
oct134034742
950360866
1024132066
1112692862
1280b9396
134ccc13a
1432c26b0
1521ba396
hex17039e2

24132066 has 64 divisors (see below), whose sum is σ = 57915648. Its totient is φ = 6559488.

The previous prime is 24132049. The next prime is 24132079. The reversal of 24132066 is 66023142.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82216 + ... + 82508.

It is an arithmetic number, because the mean of its divisors is an integer number (904932).

Almost surely, 224132066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24132066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28957824).

24132066 is an abundant number, since it is smaller than the sum of its proper divisors (33783582).

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

24132066 is a wasteful number, since it uses less digits than its factorization.

24132066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 24132066 is about 4912.4399232968. The cubic root of 24132066 is about 288.9780357904.

The spelling of 24132066 in words is "twenty-four million, one hundred thirty-two thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 37 42 53 74 106 111 159 222 259 293 318 371 518 586 742 777 879 1113 1554 1758 1961 2051 2226 3922 4102 5883 6153 10841 11766 12306 13727 15529 21682 27454 31058 32523 41181 46587 65046 75887 82362 93174 108703 151774 217406 227661 326109 455322 574573 652218 1149146 1723719 3447438 4022011 8044022 12066033 24132066