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126250152 = 23374118329
BaseRepresentation
bin1111000011001…
…10110010101000
322210120011122120
413201212302220
5224310001102
620305551240
73062052150
oct741466250
9283504576
10126250152
11652a0676
1236345520
1320204a42
1412aa5760
15b13c6bc
hex7866ca8

126250152 has 64 divisors (see below), whose sum is σ = 369532800. Its totient is φ = 35189760.

The previous prime is 126250133. The next prime is 126250153. The reversal of 126250152 is 251052621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (126250153) 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 15 ways as a sum of consecutive naturals, for example, 2277 + ... + 16052.

It is an arithmetic number, because the mean of its divisors is an integer number (5773950).

Almost surely, 2126250152 is an apocalyptic number.

126250152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126250152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184766400).

126250152 is an abundant number, since it is smaller than the sum of its proper divisors (243282648).

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

126250152 is a wasteful number, since it uses less digits than its factorization.

126250152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18386 (or 18382 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 126250152 is about 11236.1092910313. The cubic root of 126250152 is about 501.6613430977.

It can be divided in two parts, 126 and 250152, that added together give a triangular number (250278 = T707).

The spelling of 126250152 in words is "one hundred twenty-six million, two hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3444 6888 18329 36658 54987 73316 109974 128303 146632 219948 256606 384909 439896 513212 751489 769818 1026424 1502978 1539636 2254467 3005956 3079272 4508934 5260423 6011912 9017868 10520846 15781269 18035736 21041692 31562538 42083384 63125076 126250152