Search a number
-
+
71705025 = 3252753859
BaseRepresentation
bin1000100011000…
…10000111000001
311222220222210200
410101202013001
5121324030100
611040515413
71530324360
oct421420701
9158828720
1071705025
1137526057
122001bb69
1311b17912
1497477d7
156465e00
hex44621c1

71705025 has 72 divisors (see below), whose sum is σ = 149722560. Its totient is φ = 32123520.

The previous prime is 71705021. The next prime is 71705027. The reversal of 71705025 is 52050717.

It is not a de Polignac number, because 71705025 - 22 = 71705021 is a prime.

It is a super-2 number, since 2×717050252 = 10283221220501250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71705025.

It is not an unprimeable number, because it can be changed into a prime (71705021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83046 + ... + 83904.

It is an arithmetic number, because the mean of its divisors is an integer number (2079480).

Almost surely, 271705025 is an apocalyptic number.

71705025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71705025 is an abundant number, since it is smaller than the sum of its proper divisors (78017535).

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

71705025 is a wasteful number, since it uses less digits than its factorization.

71705025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 71705025 is about 8467.8819665841. The cubic root of 71705025 is about 415.4478641027.

The spelling of 71705025 in words is "seventy-one million, seven hundred five thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 53 63 75 105 159 175 225 265 315 371 477 525 795 859 1113 1325 1575 1855 2385 2577 3339 3975 4295 5565 6013 7731 9275 11925 12885 16695 18039 21475 27825 30065 38655 45527 54117 64425 83475 90195 136581 150325 193275 227635 270585 318689 409743 450975 682905 956067 1138175 1352925 1593445 2048715 2868201 3414525 4780335 7967225 10243575 14341005 23901675 71705025