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126020272 = 24743137191
BaseRepresentation
bin1111000001011…
…10101010110000
322210010111022111
413200232222300
5224230122042
620301015104
73060104020
oct740565260
9283114274
10126020272
1165153994
1236254494
1320154211
1412a45a80
15b0e4517
hex782eab0

126020272 has 80 divisors (see below), whose sum is σ = 289124352. Its totient is φ = 52093440.

The previous prime is 126020249. The next prime is 126020287. The reversal of 126020272 is 272020621.

It is a super-2 number, since 2×1260202722 = 31762217909907968, which contains 22 as substring.

It is an unprimeable number.

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, 659697 + ... + 659887.

Almost surely, 2126020272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126020272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144562176).

126020272 is an abundant number, since it is smaller than the sum of its proper divisors (163104080).

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

126020272 is a wasteful number, since it uses less digits than its factorization.

126020272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 126020272 is about 11225.8751106540. The cubic root of 126020272 is about 501.3566781858.

Adding to 126020272 its reverse (272020621), we get a palindrome (398040893).

The spelling of 126020272 in words is "one hundred twenty-six million, twenty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 137 172 191 274 301 344 382 548 602 688 764 959 1096 1204 1337 1528 1918 2192 2408 2674 3056 3836 4816 5348 5891 7672 8213 10696 11782 15344 16426 21392 23564 26167 32852 41237 47128 52334 57491 65704 82474 94256 104668 114982 131408 164948 183169 209336 229964 329896 366338 418672 459928 659792 732676 919856 1125181 1465352 2250362 2930704 4500724 7876267 9001448 15752534 18002896 31505068 63010136 126020272