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126220842 = 23411193367
BaseRepresentation
bin1111000010111…
…11101000101010
322210111200110000
413201133220222
5224303031332
620305203430
73061600536
oct741375052
9283450400
10126220842
1165280650
1236330576
13201c45b7
1412a98bc6
15b133b7c
hex785fa2a

126220842 has 80 divisors (see below), whose sum is σ = 310983552. Its totient is φ = 37946880.

The previous prime is 126220793. The next prime is 126220859. The reversal of 126220842 is 248022621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343743 + ... + 344109.

Almost surely, 2126220842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126220842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155491776).

126220842 is an abundant number, since it is smaller than the sum of its proper divisors (184762710).

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

126220842 is a wasteful number, since it uses less digits than its factorization.

126220842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 126220842 is about 11234.8049382266. The cubic root of 126220842 is about 501.6225185055.

The spelling of 126220842 in words is "one hundred twenty-six million, two hundred twenty thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 193 198 297 367 386 579 594 734 891 1101 1158 1737 1782 2123 2202 3303 3474 4037 4246 5211 6369 6606 8074 9909 10422 12111 12738 15633 19107 19818 24222 29727 31266 36333 38214 57321 59454 70831 72666 108999 114642 141662 171963 212493 217998 326997 343926 424986 637479 653994 779141 1274958 1558282 1912437 2337423 3824874 4674846 5737311 7012269 11474622 14024538 21036807 42073614 63110421 126220842