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5140152 = 233353449
BaseRepresentation
bin10011100110111010111000
3100200010222000
4103212322320
52303441102
6302101000
761455603
oct23467270
910603860
105140152
1129a0966
12187a760
1310ac814
1497b33a
156b801c
hex4e6eb8

5140152 has 64 divisors (see below), whose sum is σ = 14580000. Its totient is φ = 1677312.

The previous prime is 5140147. The next prime is 5140153. The reversal of 5140152 is 2510415.

5140152 is a `hidden beast` number, since 514 + 0 + 152 = 666.

5140152 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11224 + ... + 11672.

Almost surely, 25140152 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 5140152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290000).

5140152 is an abundant number, since it is smaller than the sum of its proper divisors (9439848).

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

5140152 is a wasteful number, since it uses less digits than its factorization.

5140152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5140152 is about 2267.1903316660. The cubic root of 5140152 is about 172.5806050515.

Adding to 5140152 its reverse (2510415), we get a palindrome (7650567).

The spelling of 5140152 in words is "five million, one hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 449 477 636 898 954 1272 1347 1431 1796 1908 2694 2862 3592 3816 4041 5388 5724 8082 10776 11448 12123 16164 23797 24246 32328 47594 48492 71391 95188 96984 142782 190376 214173 285564 428346 571128 642519 856692 1285038 1713384 2570076 5140152