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126235040 = 2552334303
BaseRepresentation
bin1111000011000…
…11000110100000
322210112101220212
413201203012200
5224304010130
620305353252
73061660121
oct741430640
9283471825
10126235040
1165290288
1236338828
13201cabb9
1412aa0048
15b137e95
hex78631a0

126235040 has 48 divisors (see below), whose sum is σ = 311205888. Its totient is φ = 48297216.

The previous prime is 126235037. The next prime is 126235051. The reversal of 126235040 is 40532621.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 126234997 and 126235015.

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 7 ways as a sum of consecutive naturals, for example, 13472 + ... + 20831.

It is an arithmetic number, because the mean of its divisors is an integer number (6483456).

Almost surely, 2126235040 is an apocalyptic number.

126235040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126235040 is an abundant number, since it is smaller than the sum of its proper divisors (184970848).

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

126235040 is a wasteful number, since it uses less digits than its factorization.

126235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34341 (or 34333 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 126235040 is about 11235.4367961375. The cubic root of 126235040 is about 501.6413262011.

Adding to 126235040 its reverse (40532621), we get a palindrome (166767661).

The spelling of 126235040 in words is "one hundred twenty-six million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 34303 68606 137212 171515 274424 343030 548848 686060 788969 1097696 1372120 1577938 2744240 3155876 3944845 5488480 6311752 7889690 12623504 15779380 25247008 31558760 63117520 126235040