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126125804 = 2272837753
BaseRepresentation
bin1111000010010…
…00011011101100
322210022212002002
413201020123230
5224242011204
620303151432
73061023500
oct741103354
9283285062
10126125804
1165216202
12362a5578
132019026c
1412a72300
15b11591e
hex78486ec

126125804 has 36 divisors (see below), whose sum is σ = 259883064. Its totient is φ = 53395776.

The previous prime is 126125803. The next prime is 126125807. The reversal of 126125804 is 408521621.

It is not an unprimeable number, because it can be changed into a prime (126125801) 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 11 ways as a sum of consecutive naturals, for example, 12392 + ... + 20144.

It is an arithmetic number, because the mean of its divisors is an integer number (7218974).

Almost surely, 2126125804 is an apocalyptic number.

126125804 is a gapful number since it is divisible by the number (14) 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 126125804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129941532).

126125804 is an abundant number, since it is smaller than the sum of its proper divisors (133757260).

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

126125804 is a wasteful number, since it uses less digits than its factorization.

126125804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 126125804 is about 11230.5745178063. The cubic root of 126125804 is about 501.4965879795.

The spelling of 126125804 in words is "one hundred twenty-six million, one hundred twenty-five thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 49 83 98 166 196 332 581 1162 2324 4067 7753 8134 15506 16268 31012 54271 108542 217084 379897 643499 759794 1286998 1519588 2573996 4504493 9008986 18017972 31531451 63062902 126125804