Search a number
-
+
126053568 = 2632218843
BaseRepresentation
bin1111000001101…
…10110011000000
322210012011222200
413200312303000
5224232203233
620301433200
73060303054
oct740666300
9283164880
10126053568
1165176a03
123626b800
1320166414
1412a53c64
15b0ee313
hex7836cc0

126053568 has 42 divisors (see below), whose sum is σ = 361311444. Its totient is φ = 42017664.

The previous prime is 126053549. The next prime is 126053569. The reversal of 126053568 is 865350621.

126053568 is a `hidden beast` number, since 1 + 2 + 60 + 535 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126053569) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108846 + ... + 109997.

Almost surely, 2126053568 is an apocalyptic number.

126053568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126053568 is an abundant number, since it is smaller than the sum of its proper divisors (235257876).

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

126053568 is a wasteful number, since it uses less digits than its factorization.

126053568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218861 (or 218848 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 126053568 is about 11227.3580151343. The cubic root of 126053568 is about 501.4008290243.

It can be divided in two parts, 126053 and 568, that added together give a palindrome (126621).

The spelling of 126053568 in words is "one hundred twenty-six million, fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 218843 437686 656529 875372 1313058 1750744 1969587 2626116 3501488 3939174 5252232 7002976 7878348 10504464 14005952 15756696 21008928 31513392 42017856 63026784 126053568