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131442000 = 24353191153
BaseRepresentation
bin1111101010110…
…10010101010000
3100011022221112020
413311122111100
5232122121000
621013131440
73154144554
oct765322520
9304287466
10131442000
1168217358
1238029b80
1321301c41
1413657864
15b815ba0
hex7d5a550

131442000 has 160 divisors (see below), whose sum is σ = 446459520. Its totient is φ = 33177600.

The previous prime is 131441983. The next prime is 131442041. The reversal of 131442000 is 244131.

131442000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113424 + ... + 114576.

It is an arithmetic number, because the mean of its divisors is an integer number (2790372).

Almost surely, 2131442000 is an apocalyptic number.

131442000 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 131442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223229760).

131442000 is an abundant number, since it is smaller than the sum of its proper divisors (315017520).

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

131442000 is a wasteful number, since it uses less digits than its factorization.

131442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 131442000 is about 11464.8157420867. The cubic root of 131442000 is about 508.4458647818.

Adding to 131442000 its reverse (244131), we get a palindrome (131686131).

The spelling of 131442000 in words is "one hundred thirty-one million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1153 1200 1425 1500 1520 1900 2000 2280 2306 2375 2850 3000 3459 3800 4560 4612 4750 5700 5765 6000 6918 7125 7600 9224 9500 11400 11530 13836 14250 17295 18448 19000 21907 22800 23060 27672 28500 28825 34590 38000 43814 46120 55344 57000 57650 65721 69180 86475 87628 92240 109535 114000 115300 131442 138360 144125 172950 175256 219070 230600 262884 276720 288250 328605 345900 350512 432375 438140 461200 525768 547675 576500 657210 691800 864750 876280 1051536 1095350 1153000 1314420 1383600 1643025 1729500 1752560 2190700 2306000 2628840 2738375 3286050 3459000 4381400 5257680 5476750 6572100 6918000 8215125 8762800 10953500 13144200 16430250 21907000 26288400 32860500 43814000 65721000 131442000