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5740152 = 23311171279
BaseRepresentation
bin10101111001011001111000
3101210122000020
4111321121320
52432141102
6323010440
766535065
oct25713170
911718006
105740152
113270730
121b09a20
13125c952
14a95c6c
15785bbc
hex579678

5740152 has 64 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 1635840.

The previous prime is 5740139. The next prime is 5740159. The reversal of 5740152 is 2510475.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5740159) 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, 3849 + ... + 5127.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 25740152 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 5740152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294400).

5740152 is an abundant number, since it is smaller than the sum of its proper divisors (10848648).

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

5740152 is a wasteful number, since it uses less digits than its factorization.

5740152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 5740152 is about 2395.8614317193. The cubic root of 5740152 is about 179.0500572631.

The spelling of 5740152 in words is "five million, seven hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1279 1496 2244 2558 3837 4488 5116 7674 10232 14069 15348 21743 28138 30696 42207 43486 56276 65229 84414 86972 112552 130458 168828 173944 239173 260916 337656 478346 521832 717519 956692 1435038 1913384 2870076 5740152