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5132064 = 253721091
BaseRepresentation
bin10011100100111100100000
3100122201212110
4103210330200
52303211224
6301555320
761423200
oct23447440
910581773
105132064
112995883
121875b40
1310a8c32
14978400
156b5929
hex4e4f20

5132064 has 72 divisors (see below), whose sum is σ = 15685488. Its totient is φ = 1464960.

The previous prime is 5132053. The next prime is 5132069. The reversal of 5132064 is 4602315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 5132064.

It is not an unprimeable number, because it can be changed into a prime (5132069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4159 + ... + 5249.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 25132064 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 5132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

5132064 is an abundant number, since it is smaller than the sum of its proper divisors (10553424).

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

5132064 is a wasteful number, since it uses less digits than its factorization.

5132064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5132064 is about 2265.4059238909. The cubic root of 5132064 is about 172.4900393324.

Adding to 5132064 its reverse (4602315), we get a palindrome (9734379).

The spelling of 5132064 in words is "five million, one hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1091 1176 1568 2182 2352 3273 4364 4704 6546 7637 8728 13092 15274 17456 22911 26184 30548 34912 45822 52368 53459 61096 91644 104736 106918 122192 160377 183288 213836 244384 320754 366576 427672 641508 733152 855344 1283016 1710688 2566032 5132064