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126424272 = 24313832441
BaseRepresentation
bin1111000100100…
…01010011010000
322210220000111110
413202101103100
5224331034042
620313413320
73063405612
oct742212320
9283800443
10126424272
11653aa477
123640a240
1320266080
1412b0cdb2
15b17409c
hex78914d0

126424272 has 80 divisors (see below), whose sum is σ = 356102208. Its totient is φ = 38415360.

The previous prime is 126424241. The next prime is 126424283. The reversal of 126424272 is 272424621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50572 + ... + 53012.

Almost surely, 2126424272 is an apocalyptic number.

126424272 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 126424272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178051104).

126424272 is an abundant number, since it is smaller than the sum of its proper divisors (229677936).

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

126424272 is a wasteful number, since it uses less digits than its factorization.

126424272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2542 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 126424272 is about 11243.8548549863. The cubic root of 126424272 is about 501.8918620212.

Adding to 126424272 its reverse (272424621), we get a palindrome (398848893).

The spelling of 126424272 in words is "one hundred twenty-six million, four hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 208 249 312 332 498 624 664 996 1079 1328 1992 2158 2441 3237 3984 4316 4882 6474 7323 8632 9764 12948 14646 17264 19528 25896 29292 31733 39056 51792 58584 63466 95199 117168 126932 190398 202603 253864 380796 405206 507728 607809 761592 810412 1215618 1523184 1620824 2431236 2633839 3241648 4862472 5267678 7901517 9724944 10535356 15803034 21070712 31606068 42141424 63212136 126424272