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5372640 = 2532571341
BaseRepresentation
bin10100011111101011100000
3101002221212200
4110133223200
52333411030
6311053200
763444450
oct24375340
911087780
105372640
11303a5a9
121971200
1311615a0
149dbd60
15711d60
hex51fae0

5372640 has 288 divisors, whose sum is σ = 23115456. Its totient is φ = 1105920.

The previous prime is 5372621. The next prime is 5372651. The reversal of 5372640 is 462735.

5372640 = T175 + T176 + ... + T334.

It is a happy number.

5372640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131020 + ... + 131060.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

Almost surely, 25372640 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 5372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728).

5372640 is an abundant number, since it is smaller than the sum of its proper divisors (17742816).

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

5372640 is a wasteful number, since it uses less digits than its factorization.

5372640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5372640 is about 2317.8955973037. The cubic root of 5372640 is about 175.1442619967.

The spelling of 5372640 in words is "five million, three hundred seventy-two thousand, six hundred forty".