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31710042 = 236713239
BaseRepresentation
bin111100011110…
…1101101011010
32012200001000000
41320331231122
531104210132
63051353430
7533350050
oct170755532
965601000
1031710042
1116999251
12a752876
136753450
1442d61d0
152bb587c
hex1e3db5a

31710042 has 112 divisors (see below), whose sum is σ = 88139520. Its totient is φ = 8328096.

The previous prime is 31710023. The next prime is 31710043. The reversal of 31710042 is 24001713.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31709997 and 31710024.

It is not an unprimeable number, because it can be changed into a prime (31710043) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 132559 + ... + 132797.

It is an arithmetic number, because the mean of its divisors is an integer number (786960).

Almost surely, 231710042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31710042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44069760).

31710042 is an abundant number, since it is smaller than the sum of its proper divisors (56429478).

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

31710042 is a wasteful number, since it uses less digits than its factorization.

31710042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 31710042 is about 5631.1670193664. The cubic root of 31710042 is about 316.5183835148.

Adding to 31710042 its reverse (24001713), we get a palindrome (55711755).

The spelling of 31710042 in words is "thirty-one million, seven hundred ten thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 239 243 273 351 378 478 486 546 567 702 717 729 819 1053 1134 1434 1458 1638 1673 1701 2106 2151 2457 3107 3159 3346 3402 4302 4914 5019 5103 6214 6318 6453 7371 9321 9477 10038 10206 12906 14742 15057 18642 18954 19359 21749 22113 27963 30114 38718 43498 44226 45171 55926 58077 65247 66339 83889 90342 116154 130494 132678 135513 167778 174231 195741 251667 271026 348462 391482 406539 503334 587223 755001 813078 1174446 1219617 1510002 1761669 2265003 2439234 3523338 4530006 5285007 10570014 15855021 31710042