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126460152 = 233271319301
BaseRepresentation
bin1111000100110…
…10000011111000
322210221211201100
413202122003320
5224333211102
620314251400
73063615330
oct742320370
9283854640
10126460152
1165424425
1236426b60
13202794c0
1412b1c0c0
15b17ea1c
hex789a0f8

126460152 has 96 divisors (see below), whose sum is σ = 421555680. Its totient is φ = 33350400.

The previous prime is 126460091. The next prime is 126460153. The reversal of 126460152 is 251064621.

126460152 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 601 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126460153) 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, 3099 + ... + 16202.

It is an arithmetic number, because the mean of its divisors is an integer number (4391205).

Almost surely, 2126460152 is an apocalyptic number.

126460152 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 126460152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210777840).

126460152 is an abundant number, since it is smaller than the sum of its proper divisors (295095528).

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

126460152 is a wasteful number, since it uses less digits than its factorization.

126460152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19333 (or 19326 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 126460152 is about 11245.4502800021. The cubic root of 126460152 is about 501.9393375479.

It can be divided in two parts, 1264 and 60152, that added together give a palindrome (61416).

The spelling of 126460152 in words is "one hundred twenty-six million, four hundred sixty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 19301 38602 57903 77204 115806 135107 154408 173709 231612 250913 270214 347418 405321 463224 501826 540428 694836 752739 810642 1003652 1080856 1215963 1389672 1505478 1621284 1756391 2007304 2258217 2431926 3010956 3242568 3512782 4516434 4863852 5269173 6021912 7025564 9032868 9727704 10538346 14051128 15807519 18065736 21076692 31615038 42153384 63230076 126460152