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131234160 = 2435312569
BaseRepresentation
bin1111101001001…
…11100101110000
3100010221101102110
413310213211300
5232043443120
621004445320
73152320611
oct764474560
9303841373
10131234160
1168095192
1237b49840
132125b465
1413601c08
15b7c42e0
hex7d27970

131234160 has 120 divisors (see below), whose sum is σ = 421111440. Its totient is φ = 33807360.

The previous prime is 131234143. The next prime is 131234161. The reversal of 131234160 is 61432131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131234161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230356 + ... + 230924.

It is an arithmetic number, because the mean of its divisors is an integer number (3509262).

Almost surely, 2131234160 is an apocalyptic number.

131234160 is a gapful number since it is divisible by the number (10) 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 131234160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210555720).

131234160 is an abundant number, since it is smaller than the sum of its proper divisors (289877280).

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

131234160 is a wasteful number, since it uses less digits than its factorization.

131234160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 131234160 is about 11455.7479022541. The cubic root of 131234160 is about 508.1777334982.

Adding to 131234160 its reverse (61432131), we get a palindrome (192666291).

The spelling of 131234160 in words is "one hundred thirty-one million, two hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 569 620 744 930 961 1138 1240 1488 1707 1860 1922 2276 2480 2845 2883 3414 3720 3844 4552 4805 5690 5766 6828 7440 7688 8535 9104 9610 11380 11532 13656 14415 15376 17070 17639 19220 22760 23064 27312 28830 34140 35278 38440 45520 46128 52917 57660 68280 70556 76880 88195 105834 115320 136560 141112 176390 211668 230640 264585 282224 352780 423336 529170 546809 705560 846672 1058340 1093618 1411120 1640427 2116680 2187236 2734045 3280854 4233360 4374472 5468090 6561708 8202135 8748944 10936180 13123416 16404270 21872360 26246832 32808540 43744720 65617080 131234160