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126535464 = 233211197811
BaseRepresentation
bin1111000101011…
…00011100101000
322211002200000200
413202230130220
5224343113324
620320032200
73064351026
oct742543450
9284080020
10126535464
1165475a70
1236462660
13202a4873
1412b3b716
15b196ec9
hex78ac728

126535464 has 96 divisors (see below), whose sum is σ = 376215840. Its totient is φ = 38102400.

The previous prime is 126535457. The next prime is 126535469. The reversal of 126535464 is 464535621.

It is a super-2 number, since 2×1265354642 = 32022447299390592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126535469) 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 23 ways as a sum of consecutive naturals, for example, 155619 + ... + 156429.

It is an arithmetic number, because the mean of its divisors is an integer number (3918915).

Almost surely, 2126535464 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 126535464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188107920).

126535464 is an abundant number, since it is smaller than the sum of its proper divisors (249680376).

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

126535464 is a wasteful number, since it uses less digits than its factorization.

126535464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1024 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 126535464 is about 11248.7983358224. The cubic root of 126535464 is about 502.0389593209.

The spelling of 126535464 in words is "one hundred twenty-six million, five hundred thirty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 197 198 264 394 396 591 788 792 811 1182 1576 1622 1773 2167 2364 2433 3244 3546 4334 4728 4866 6488 6501 7092 7299 8668 8921 9732 13002 14184 14598 17336 17842 19464 19503 26004 26763 29196 35684 39006 52008 53526 58392 71368 78012 80289 107052 156024 159767 160578 214104 319534 321156 479301 639068 642312 958602 1278136 1437903 1757437 1917204 2875806 3514874 3834408 5272311 5751612 7029748 10544622 11503224 14059496 15816933 21089244 31633866 42178488 63267732 126535464