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31134870 = 23251322389
BaseRepresentation
bin111011011000…
…1010010010110
32011120211000100
41312301102112
530432303440
63031154530
7525433134
oct166612226
964524010
1031134870
11166360a8
12a515a46
1365b1700
1441c6754
152b00230
hex1db1496

31134870 has 144 divisors (see below), whose sum is σ = 92495520. Its totient is φ = 7248384.

The previous prime is 31134839. The next prime is 31134889. The reversal of 31134870 is 7843113.

31134870 is a `hidden beast` number, since 311 + 348 + 7 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 349786 + ... + 349874.

It is an arithmetic number, because the mean of its divisors is an integer number (642330).

Almost surely, 231134870 is an apocalyptic number.

31134870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31134870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46247760).

31134870 is an abundant number, since it is smaller than the sum of its proper divisors (61360650).

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

31134870 is a wasteful number, since it uses less digits than its factorization.

31134870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 31134870 is about 5579.8629015416. The cubic root of 31134870 is about 314.5929739113.

Adding to 31134870 its reverse (7843113), we get a palindrome (38977983).

The spelling of 31134870 in words is "thirty-one million, one hundred thirty-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 89 90 115 117 130 138 169 178 195 207 230 234 267 299 338 345 390 414 445 507 534 585 598 690 801 845 890 897 1014 1035 1157 1170 1335 1495 1521 1602 1690 1794 2047 2070 2314 2535 2670 2691 2990 3042 3471 3887 4005 4094 4485 5070 5382 5785 6141 6942 7605 7774 8010 8970 10235 10413 11570 11661 12282 13455 15041 15210 17355 18423 19435 20470 20826 23322 26611 26910 30082 30705 34710 34983 36846 38870 45123 52065 53222 58305 61410 69966 75205 79833 90246 92115 104130 116610 133055 135369 150410 159666 174915 184230 225615 239499 266110 270738 345943 349830 399165 451230 478998 676845 691886 798330 1037829 1197495 1353690 1729715 2075658 2394990 3113487 3459430 5189145 6226974 10378290 15567435 31134870