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126243972 = 223217206281
BaseRepresentation
bin1111000011001…
…01010010000100
322210112212011200
413201211102010
5224304301342
620305502500
73062025141
oct741452204
9283485150
10126243972
1165296a68
1236341a30
1320201c9a
1412aa33c8
15b13a94c
hex7865484

126243972 has 36 divisors (see below), whose sum is σ = 337889916. Its totient is φ = 39605760.

The previous prime is 126243967. The next prime is 126243977. The reversal of 126243972 is 279342621.

126243972 is a `hidden beast` number, since 1 + 262 + 4 + 397 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (126243967) and next prime (126243977).

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 85488516 = 6384^2 + 9246^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (126243977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102529 + ... + 103752.

It is an arithmetic number, because the mean of its divisors is an integer number (9385831).

Almost surely, 2126243972 is an apocalyptic number.

126243972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126243972 is an abundant number, since it is smaller than the sum of its proper divisors (211645944).

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

126243972 is a wasteful number, since it uses less digits than its factorization.

126243972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206308 (or 206303 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 126243972 is about 11235.8342814408. The cubic root of 126243972 is about 501.6531574503.

The spelling of 126243972 in words is "one hundred twenty-six million, two hundred forty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 206281 412562 618843 825124 1237686 1856529 2475372 3506777 3713058 7013554 7426116 10520331 14027108 21040662 31560993 42081324 63121986 126243972