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126334120 = 235114147149
BaseRepresentation
bin1111000011110…
…11010010101000
322210201102211111
413201323102220
5224320142440
620311440104
73062552023
oct741732250
9283642744
10126334120
1165348770
1236386034
1320234023
1412ac81ba
15b1574ea
hex787b4a8

126334120 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 43571200.

The previous prime is 126334093. The next prime is 126334189. The reversal of 126334120 is 21433621.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 126334091 and 126334100.

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, 847806 + ... + 847954.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2126334120 is an apocalyptic number.

126334120 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 126334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

126334120 is an abundant number, since it is smaller than the sum of its proper divisors (200257880).

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

126334120 is a wasteful number, since it uses less digits than its factorization.

126334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 126334120 is about 11239.8451946635. The cubic root of 126334120 is about 501.7725354772.

Adding to 126334120 its reverse (21433621), we get a palindrome (147767741).

The spelling of 126334120 in words is "one hundred twenty-six million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 47 55 82 88 94 110 149 164 188 205 220 235 298 328 376 410 440 451 470 517 596 745 820 902 940 1034 1192 1490 1639 1640 1804 1880 1927 2068 2255 2585 2980 3278 3608 3854 4136 4510 5170 5960 6109 6556 7003 7708 8195 9020 9635 10340 12218 13112 14006 15416 16390 18040 19270 20680 21197 24436 28012 30545 32780 35015 38540 42394 48872 56024 61090 65560 67199 70030 77033 77080 84788 105985 122180 134398 140060 154066 169576 211970 244360 268796 280120 287123 308132 335995 385165 423940 537592 574246 616264 671990 770330 847880 1148492 1343980 1435615 1540660 2296984 2687960 2871230 3081320 3158353 5742460 6316706 11484920 12633412 15791765 25266824 31583530 63167060 126334120