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126030645 = 32513972221
BaseRepresentation
bin1111000001100…
…01001100110101
322210011000112200
413200301030311
5224230440040
620301135113
73060146166
oct740611465
9283130480
10126030645
1165160764
123625a499
1320158b60
1412a4976d
15b0e7630
hex7831335

126030645 has 48 divisors (see below), whose sum is σ = 237789552. Its totient is φ = 61378560.

The previous prime is 126030643. The next prime is 126030647. The reversal of 126030645 is 546030621.

126030645 is a `hidden beast` number, since 12 + 6 + 0 + 3 + 0 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (126030643) and next prime (126030647).

It can be written as a sum of positive squares in 8 ways, for example, as 5008644 + 121022001 = 2238^2 + 11001^2 .

It is not a de Polignac number, because 126030645 - 21 = 126030643 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126030643) 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 47 ways as a sum of consecutive naturals, for example, 55635 + ... + 57855.

It is an arithmetic number, because the mean of its divisors is an integer number (4953949).

Almost surely, 2126030645 is an apocalyptic number.

126030645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126030645 is a deficient number, since it is larger than the sum of its proper divisors (111758907).

126030645 is a wasteful number, since it uses less digits than its factorization.

126030645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 126030645 is about 11226.3371141259. The cubic root of 126030645 is about 501.3704337244.

The spelling of 126030645 in words is "one hundred twenty-six million, thirty thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 97 117 195 291 485 585 873 1261 1455 2221 3783 4365 6305 6663 11105 11349 18915 19989 28873 33315 56745 86619 99945 144365 215437 259857 433095 646311 1077185 1299285 1938933 2800681 3231555 8402043 9694665 14003405 25206129 42010215 126030645