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5740146 = 23631127
BaseRepresentation
bin10101111001011001110010
3101210122000000
4111321121302
52432141041
6323010430
766535056
oct25713162
911718000
105740146
113270725
121b09a16
13125c949
14a95c66
15785bb6
hex579672

5740146 has 56 divisors (see below), whose sum is σ = 13430784. Its totient is φ = 1837080.

The previous prime is 5740139. The next prime is 5740159. The reversal of 5740146 is 6410475.

It is a super-2 number, since 2×57401462 = 65898552202632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 45135 + ... + 45261.

Almost surely, 25740146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5740146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715392).

5740146 is an abundant number, since it is smaller than the sum of its proper divisors (7690638).

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

5740146 is a wasteful number, since it uses less digits than its factorization.

5740146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5740146 is about 2395.8601795597. The cubic root of 5740146 is about 179.0499948779.

It can be divided in two parts, 5740 and 146, that added together give a triangular number (5886 = T108).

The spelling of 5740146 in words is "five million, seven hundred forty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 127 162 186 243 254 279 381 486 558 729 762 837 1143 1458 1674 2286 2511 3429 3937 5022 6858 7533 7874 10287 11811 15066 20574 22599 23622 30861 35433 45198 61722 70866 92583 106299 185166 212598 318897 637794 956691 1913382 2870073 5740146