Search a number
-
+
126450450 = 23352713381
BaseRepresentation
bin1111000100101…
…11101100010010
322210221100102000
413202113230102
5224332403300
620314134430
73063545130
oct742275422
9283840360
10126450450
1165418105
1236421416
1320274c69
1412b18750
15b17bc00
hex7897b12

126450450 has 96 divisors (see below), whose sum is σ = 398248320. Its totient is φ = 28900800.

The previous prime is 126450449. The next prime is 126450463. The reversal of 126450450 is 54054621.

126450450 is a `hidden beast` number, since 12 + 645 + 0 + 4 + 5 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2760 + ... + 16140.

It is an arithmetic number, because the mean of its divisors is an integer number (4148420).

Almost surely, 2126450450 is an apocalyptic number.

126450450 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 126450450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199124160).

126450450 is an abundant number, since it is smaller than the sum of its proper divisors (271797870).

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

126450450 is a wasteful number, since it uses less digits than its factorization.

126450450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13409 (or 13398 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 126450450 is about 11245.0188972718. The cubic root of 126450450 is about 501.9265009879.

The spelling of 126450450 in words is "one hundred twenty-six million, four hundred fifty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1350 1575 1890 3150 4725 9450 13381 26762 40143 66905 80286 93667 120429 133810 187334 200715 240858 281001 334525 361287 401430 468335 562002 602145 669050 722574 843003 936670 1003575 1204290 1405005 1686006 1806435 2007150 2341675 2529009 2810010 3010725 3612870 4215015 4683350 5058018 6021450 7025025 8430030 9032175 12645045 14050050 18064350 21075075 25290090 42150150 63225225 126450450