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126075450 = 235219311427
BaseRepresentation
bin1111000001111…
…00001000111010
322210020022000010
413200330020322
5224233403300
620302122350
73060423624
oct740741072
9283208003
10126075450
1165191396
12362803b6
1320173377
1412a5bc14
15b105a50
hex783c23a

126075450 has 96 divisors (see below), whose sum is σ = 339978240. Its totient is φ = 30801600.

The previous prime is 126075437. The next prime is 126075457. The reversal of 126075450 is 54570621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (126075457) 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, 87637 + ... + 89063.

It is an arithmetic number, because the mean of its divisors is an integer number (3541440).

Almost surely, 2126075450 is an apocalyptic number.

126075450 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 126075450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

126075450 is an abundant number, since it is smaller than the sum of its proper divisors (213902790).

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

126075450 is a wasteful number, since it uses less digits than its factorization.

126075450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 126075450 is about 11228.3324674682. The cubic root of 126075450 is about 501.4298405477.

The spelling of 126075450 in words is "one hundred twenty-six million, seventy-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 31 38 50 57 62 75 93 95 114 150 155 186 190 285 310 465 475 570 589 775 930 950 1178 1425 1427 1550 1767 2325 2850 2854 2945 3534 4281 4650 5890 7135 8562 8835 14270 14725 17670 21405 27113 29450 35675 42810 44175 44237 54226 71350 81339 88350 88474 107025 132711 135565 162678 214050 221185 265422 271130 406695 442370 663555 677825 813390 840503 1105925 1327110 1355650 1681006 2033475 2211850 2521509 3317775 4066950 4202515 5043018 6635550 8405030 12607545 21012575 25215090 42025150 63037725 126075450