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31141260 = 2234547409
BaseRepresentation
bin111011011001…
…0110110001100
32011121010210000
41312302312030
530433010020
63031244300
7525460563
oct166626614
964533700
1031141260
111663a987
12a519690
1365b45a7
1441c8bda
152b02090
hex1db2d8c

31141260 has 120 divisors (see below), whose sum is σ = 100013760. Its totient is φ = 8107776.

The previous prime is 31141223. The next prime is 31141261. The reversal of 31141260 is 6214113.

It is a happy number.

It is a super-3 number, since 3×311412603 (a number of 23 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31141261) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75936 + ... + 76344.

It is an arithmetic number, because the mean of its divisors is an integer number (833448).

Almost surely, 231141260 is an apocalyptic number.

31141260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31141260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50006880).

31141260 is an abundant number, since it is smaller than the sum of its proper divisors (68872500).

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

31141260 is a wasteful number, since it uses less digits than its factorization.

31141260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31141260 is about 5580.4354668789. The cubic root of 31141260 is about 314.6144943865.

Adding to 31141260 its reverse (6214113), we get a palindrome (37355373).

The spelling of 31141260 in words is "thirty-one million, one hundred forty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 270 282 324 405 409 423 470 540 564 705 810 818 846 940 1227 1269 1410 1620 1636 1692 2045 2115 2454 2538 2820 3681 3807 4090 4230 4908 5076 6135 6345 7362 7614 8180 8460 11043 12270 12690 14724 15228 18405 19035 19223 22086 24540 25380 33129 36810 38070 38446 44172 55215 57669 66258 73620 76140 76892 96115 110430 115338 132516 165645 173007 192230 220860 230676 288345 331290 346014 384460 519021 576690 662580 692028 865035 1038042 1153380 1557063 1730070 2076084 2595105 3114126 3460140 5190210 6228252 7785315 10380420 15570630 31141260