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5705460 = 22325291093
BaseRepresentation
bin10101110000111011110100
3101201212102100
4111300323310
52430033320
6322142100
766331665
oct25607364
911655370
105705460
113247662
121ab1930
131249c17
14a8736c
1577a790
hex570ef4

5705460 has 72 divisors (see below), whose sum is σ = 17919720. Its totient is φ = 1467648.

The previous prime is 5705423. The next prime is 5705467. The reversal of 5705460 is 645075.

It can be written as a sum of positive squares in 4 ways, for example, as 2178576 + 3526884 = 1476^2 + 1878^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5705467) 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 23 ways as a sum of consecutive naturals, for example, 4674 + ... + 5766.

It is an arithmetic number, because the mean of its divisors is an integer number (248885).

Almost surely, 25705460 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 5705460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8959860).

5705460 is an abundant number, since it is smaller than the sum of its proper divisors (12214260).

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

5705460 is a wasteful number, since it uses less digits than its factorization.

5705460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5705460 is about 2388.6104747321. The cubic root of 5705460 is about 178.6886173249.

The spelling of 5705460 in words is "five million, seven hundred five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1093 1305 1740 2186 2610 3279 4372 5220 5465 6558 9837 10930 13116 16395 19674 21860 31697 32790 39348 49185 63394 65580 95091 98370 126788 158485 190182 196740 285273 316970 380364 475455 570546 633940 950910 1141092 1426365 1901820 2852730 5705460