Search a number
-
+
126088074 = 23272592423
BaseRepresentation
bin1111000001111…
…11001110001010
322210020221022200
413200333032022
5224234304244
620302301030
73060505500
oct740771612
9283227280
10126088074
116519a922
1236287776
1320179038
1412a62670
15b109669
hex783f38a

126088074 has 72 divisors (see below), whose sum is σ = 323313120. Its totient is φ = 35399952.

The previous prime is 126088073. The next prime is 126088091. The reversal of 126088074 is 470880621.

It is not an unprimeable number, because it can be changed into a prime (126088073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50827 + ... + 53249.

It is an arithmetic number, because the mean of its divisors is an integer number (4490460).

Almost surely, 2126088074 is an apocalyptic number.

126088074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126088074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161656560).

126088074 is an abundant number, since it is smaller than the sum of its proper divisors (197225046).

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

126088074 is a wasteful number, since it uses less digits than its factorization.

126088074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 126088074 is about 11228.8946027648. The cubic root of 126088074 is about 501.4465761322.

The spelling of 126088074 in words is "one hundred twenty-six million, eighty-eight thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 59 63 98 118 126 147 177 294 354 413 441 531 826 882 1062 1239 2423 2478 2891 3717 4846 5782 7269 7434 8673 14538 16961 17346 21807 26019 33922 43614 50883 52038 101766 118727 142957 152649 237454 285914 305298 356181 428871 712362 857742 1000699 1068543 1286613 2001398 2137086 2573226 3002097 6004194 7004893 9006291 14009786 18012582 21014679 42029358 63044037 126088074