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126451232 = 2519316709
BaseRepresentation
bin1111000100101…
…11111000100000
322210221101110222
413202113320200
5224332414412
620314142212
73063550325
oct742277040
9283841428
10126451232
1165418756
1236421968
132027541b
1412b18b4c
15b17c072
hex7897e20

126451232 has 48 divisors (see below), whose sum is σ = 270547200. Its totient is φ = 57957120.

The previous prime is 126451187. The next prime is 126451243. The reversal of 126451232 is 232154621.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 15494 + ... + 22202.

It is an arithmetic number, because the mean of its divisors is an integer number (5636400).

Almost surely, 2126451232 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 126451232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135273600).

126451232 is an abundant number, since it is smaller than the sum of its proper divisors (144095968).

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

126451232 is a wasteful number, since it uses less digits than its factorization.

126451232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6761 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 126451232 is about 11245.0536681690. The cubic root of 126451232 is about 501.9275356638.

The spelling of 126451232 in words is "one hundred twenty-six million, four hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1178 2356 4712 6709 9424 13418 18848 26836 53672 107344 127471 207979 214688 254942 415958 509884 831916 1019768 1663832 2039536 3327664 3951601 4079072 6655328 7903202 15806404 31612808 63225616 126451232