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126440730 = 233513217163
BaseRepresentation
bin1111000100101…
…01010100011010
322210220212002000
413202111110122
5224332100410
620314021430
73063504603
oct742252432
9283825060
10126440730
1165410879
1236417876
1320270700
1412b14daa
15b178dc0
hex789551a

126440730 has 192 divisors, whose sum is σ = 388955520. Its totient is φ = 29113344.

The previous prime is 126440701. The next prime is 126440759. The reversal of 126440730 is 37044621.

126440730 is a `hidden beast` number, since 12 + 644 + 0 + 7 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126440701) and next prime (126440759).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 126440694 and 126440703.

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 95 ways as a sum of consecutive naturals, for example, 775629 + ... + 775791.

It is an arithmetic number, because the mean of its divisors is an integer number (2025810).

Almost surely, 2126440730 is an apocalyptic number.

126440730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126440730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194477760).

126440730 is an abundant number, since it is smaller than the sum of its proper divisors (262514790).

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

126440730 is a wasteful number, since it uses less digits than its factorization.

126440730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 126440730 is about 11244.5866976070. The cubic root of 126440730 is about 501.9136399539.

The spelling of 126440730 in words is "one hundred twenty-six million, four hundred forty thousand, seven hundred thirty".