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126120408 = 23323228479
BaseRepresentation
bin1111000010001…
…11000111011000
322210022120200020
413201013013120
5224241323113
620303110440
73061001661
oct741070730
9283276606
10126120408
1165212147
12362a2420
132018a97b
1412a70368
15b114023
hex78471d8

126120408 has 32 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 40212128.

The previous prime is 126120403. The next prime is 126120427. The reversal of 126120408 is 804021621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126120403) 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 7 ways as a sum of consecutive naturals, for example, 113688 + ... + 114791.

It is an arithmetic number, because the mean of its divisors is an integer number (10281600).

Almost surely, 2126120408 is an apocalyptic number.

It is an amenable number.

126120408 is an abundant number, since it is smaller than the sum of its proper divisors (202890792).

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

126120408 is a wasteful number, since it uses less digits than its factorization.

126120408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228511 (or 228507 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 126120408 is about 11230.3342781949. The cubic root of 126120408 is about 501.4894360880.

The spelling of 126120408 in words is "one hundred twenty-six million, one hundred twenty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 228479 456958 685437 913916 1370874 1827832 2741748 5255017 5483496 10510034 15765051 21020068 31530102 42040136 63060204 126120408