Search a number
-
+
126234444 = 223712711833
BaseRepresentation
bin1111000011000…
…10111101001100
322210112101002210
413201202331030
5224304000234
620305350420
73061655310
oct741427514
9283471083
10126234444
116528a896
1236338410
13201ca84b
1412a9db40
15b137be9
hex7862f4c

126234444 has 48 divisors (see below), whose sum is σ = 339304448. Its totient is φ = 35779968.

The previous prime is 126234413. The next prime is 126234457. The reversal of 126234444 is 444432621.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4752 + ... + 16584.

Almost surely, 2126234444 is an apocalyptic number.

126234444 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 126234444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169652224).

126234444 is an abundant number, since it is smaller than the sum of its proper divisors (213070004).

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

126234444 is a wasteful number, since it uses less digits than its factorization.

126234444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11974 (or 11972 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 126234444 is about 11235.4102728828. The cubic root of 126234444 is about 501.6405367248.

The spelling of 126234444 in words is "one hundred twenty-six million, two hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1524 1778 2667 3556 5334 10668 11833 23666 35499 47332 70998 82831 141996 165662 248493 331324 496986 993972 1502791 3005582 4508373 6011164 9016746 10519537 18033492 21039074 31558611 42078148 63117222 126234444