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126424416 = 2531316921
BaseRepresentation
bin1111000100100…
…01010101100000
322210220000200210
413202101111200
5224331040131
620313414120
73063406206
oct742212540
9283800623
10126424416
11653aa598
123640a340
1320266161
1412b0d076
15b174146
hex7891560

126424416 has 24 divisors (see below), whose sum is σ = 331864344. Its totient is φ = 42141440.

The previous prime is 126424387. The next prime is 126424439. The reversal of 126424416 is 614424621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 658365 + ... + 658556.

It is an arithmetic number, because the mean of its divisors is an integer number (13827681).

Almost surely, 2126424416 is an apocalyptic number.

126424416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126424416 is an abundant number, since it is smaller than the sum of its proper divisors (205439928).

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

126424416 is a wasteful number, since it uses less digits than its factorization.

126424416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316934 (or 1316926 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 126424416 is about 11243.8612584823. The cubic root of 126424416 is about 501.8920525764.

The spelling of 126424416 in words is "one hundred twenty-six million, four hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1316921 2633842 3950763 5267684 7901526 10535368 15803052 21070736 31606104 42141472 63212208 126424416