Search a number
-
+
90134128 = 2472114967
BaseRepresentation
bin1010101111101…
…01011001110000
320021121021210001
411113311121300
5141033243003
612535515344
72143061500
oct527653160
9207537701
1090134128
1146973117
1226228b54
131589b006
14bd83a00
157da661d
hex55f5670

90134128 has 30 divisors (see below), whose sum is σ = 203148456. Its totient is φ = 38628576.

The previous prime is 90134101. The next prime is 90134131. The reversal of 90134128 is 82143109.

It is a happy number.

It is a super-2 number, since 2×901341282 = 16248322060640768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 90134096 and 90134105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56700 + ... + 58267.

Almost surely, 290134128 is an apocalyptic number.

90134128 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

90134128 is an abundant number, since it is smaller than the sum of its proper divisors (113014328).

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

90134128 is a wasteful number, since it uses less digits than its factorization.

90134128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114989 (or 114976 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 90134128 is about 9493.8995149517. The cubic root of 90134128 is about 448.3629870643.

The spelling of 90134128 in words is "ninety million, one hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 114967 229934 459868 804769 919736 1609538 1839472 3219076 5633383 6438152 11266766 12876304 22533532 45067064 90134128