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126021312 = 2633233313
BaseRepresentation
bin1111000001011…
…10111011000000
322210010112202000
413200232323000
5224230140222
620301024000
73060110034
oct740567300
9283115660
10126021312
116515474a
1236255000
1320154831
1412a461c4
15b0e49ac
hex782eec0

126021312 has 112 divisors (see below), whose sum is σ = 373258080. Its totient is φ = 41693184.

The previous prime is 126021277. The next prime is 126021317. The reversal of 126021312 is 213120621.

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 (126021317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402468 + ... + 402780.

Almost surely, 2126021312 is an apocalyptic number.

126021312 is a gapful number since it is divisible by the number (12) 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 126021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186629040).

126021312 is an abundant number, since it is smaller than the sum of its proper divisors (247236768).

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

126021312 is a wasteful number, since it uses less digits than its factorization.

126021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

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

The square root of 126021312 is about 11225.9214321142. The cubic root of 126021312 is about 501.3580573542.

Adding to 126021312 its reverse (213120621), we get a palindrome (339141933).

The spelling of 126021312 in words is "one hundred twenty-six million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 233 288 313 432 466 576 626 699 864 932 939 1252 1398 1728 1864 1878 2097 2504 2796 2817 3728 3756 4194 5008 5592 5634 6291 7456 7512 8388 8451 10016 11184 11268 12582 14912 15024 16776 16902 20032 22368 22536 25164 30048 33552 33804 44736 45072 50328 60096 67104 67608 72929 90144 100656 134208 135216 145858 180288 201312 218787 270432 291716 402624 437574 540864 583432 656361 875148 1166864 1312722 1750296 1969083 2333728 2625444 3500592 3938166 4667456 5250888 7001184 7876332 10501776 14002368 15752664 21003552 31505328 42007104 63010656 126021312