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126644440 = 235132310589
BaseRepresentation
bin1111000110001…
…11000011011000
322211022012111211
413203013003120
5224410110230
620322232504
73065313526
oct743070330
9284265454
10126644440
116553a92a
12364b5734
1320312350
1412b69316
15b1b942a
hex78c70d8

126644440 has 64 divisors (see below), whose sum is σ = 320241600. Its totient is φ = 44723712.

The previous prime is 126644437. The next prime is 126644447. The reversal of 126644440 is 44446621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126644447) 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 15 ways as a sum of consecutive naturals, for example, 6666 + ... + 17254.

It is an arithmetic number, because the mean of its divisors is an integer number (5003775).

Almost surely, 2126644440 is an apocalyptic number.

126644440 is a gapful number since it is divisible by the number (10) 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 126644440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160120800).

126644440 is an abundant number, since it is smaller than the sum of its proper divisors (193597160).

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

126644440 is a wasteful number, since it uses less digits than its factorization.

126644440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10636 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 126644440 is about 11253.6411885221. The cubic root of 126644440 is about 502.1830414551.

The spelling of 126644440 in words is "one hundred twenty-six million, six hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 10589 11960 21178 42356 52945 84712 105890 137657 211780 243547 275314 423560 487094 550628 688285 974188 1101256 1217735 1376570 1948376 2435470 2753140 3166111 4870940 5506280 6332222 9741880 12664444 15830555 25328888 31661110 63322220 126644440