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71731530 = 232513371657
BaseRepresentation
bin1000100011010…
…00100101001010
311222222100011100
410101220211022
5121330402110
611041242230
71530464553
oct421504512
9158870140
1071731530
1137543a62
1220033376
1311b269c0
14975332a
15646dbc0
hex446894a

71731530 has 96 divisors (see below), whose sum is σ = 206401104. Its totient is φ = 17169408.

The previous prime is 71731523. The next prime is 71731531. The reversal of 71731530 is 3513717.

It can be written as a sum of positive squares in 8 ways, for example, as 26532801 + 45198729 = 5151^2 + 6723^2 .

It is a super-2 number, since 2×717315302 = 10290824792281800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71731494 and 71731503.

It is not an unprimeable number, because it can be changed into a prime (71731531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42462 + ... + 44118.

Almost surely, 271731530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71731530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103200552).

71731530 is an abundant number, since it is smaller than the sum of its proper divisors (134669574).

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

71731530 is a wasteful number, since it uses less digits than its factorization.

71731530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 71731530 is about 8469.4468532484. The cubic root of 71731530 is about 415.4990464253.

The spelling of 71731530 in words is "seventy-one million, seven hundred thirty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 37 39 45 65 74 78 90 111 117 130 185 195 222 234 333 370 390 481 555 585 666 962 1110 1170 1443 1657 1665 2405 2886 3314 3330 4329 4810 4971 7215 8285 8658 9942 14430 14913 16570 21541 21645 24855 29826 43082 43290 49710 61309 64623 74565 107705 122618 129246 149130 183927 193869 215410 306545 323115 367854 387738 551781 613090 646230 797017 919635 969345 1103562 1594034 1839270 1938690 2391051 2758905 3985085 4782102 5517810 7173153 7970170 11955255 14346306 23910510 35865765 71731530