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126331000 = 23531961109
BaseRepresentation
bin1111000011110…
…10100001111000
322210201021112221
413201322201320
5224320043000
620311413424
73062536645
oct741724170
9283637487
10126331000
1165346394
1236384274
1320232793
1412ac6dcc
15b15661a
hex787a878

126331000 has 128 divisors (see below), whose sum is σ = 319176000. Its totient is φ = 46656000.

The previous prime is 126330937. The next prime is 126331021. The reversal of 126331000 is 133621.

It is a super-2 number, since 2×1263310002 = 31919043122000000, which contains 22 as substring.

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, 1158946 + ... + 1159054.

Almost surely, 2126331000 is an apocalyptic number.

126331000 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 126331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159588000).

126331000 is an abundant number, since it is smaller than the sum of its proper divisors (192845000).

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

126331000 is a wasteful number, since it uses less digits than its factorization.

126331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 126331000 is about 11239.7064018594. The cubic root of 126331000 is about 501.7684047820.

Adding to 126331000 its reverse (133621), we get a palindrome (126464621).

The spelling of 126331000 in words is "one hundred twenty-six million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 61 76 95 100 109 122 125 152 190 200 218 244 250 305 380 436 475 488 500 545 610 760 872 950 1000 1090 1159 1220 1525 1900 2071 2180 2318 2375 2440 2725 3050 3800 4142 4360 4636 4750 5450 5795 6100 6649 7625 8284 9272 9500 10355 10900 11590 12200 13298 13625 15250 16568 19000 20710 21800 23180 26596 27250 28975 30500 33245 41420 46360 51775 53192 54500 57950 61000 66490 82840 103550 109000 115900 126331 132980 144875 166225 207100 231800 252662 258875 265960 289750 332450 414200 505324 517750 579500 631655 664900 831125 1010648 1035500 1159000 1263310 1329800 1662250 2071000 2526620 3158275 3324500 5053240 6316550 6649000 12633100 15791375 25266200 31582750 63165500 126331000