Search a number
-
+
90466134 = 231123532
BaseRepresentation
bin1010110010001…
…10011101010110
320022020011012120
411121012131112
5141124404014
612551000410
72145643443
oct531063526
9208204176
1090466134
114707a600
1226369106
1315986175
14c02c9ca
157e1eba9
hex5646756

90466134 has 36 divisors (see below), whose sum is σ = 199440948. Its totient is φ = 27336320.

The previous prime is 90466133. The next prime is 90466151. The reversal of 90466134 is 43166409.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 90466095 and 90466104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90466133) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 256102 + ... + 256454.

Almost surely, 290466134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90466134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99720474).

90466134 is an abundant number, since it is smaller than the sum of its proper divisors (108974814).

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

90466134 is a wasteful number, since it uses less digits than its factorization.

90466134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 90466134 is about 9511.3686712271. The cubic root of 90466134 is about 448.9128224621.

The spelling of 90466134 in words is "ninety million, four hundred sixty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 353 363 706 726 1059 2118 3883 7766 11649 23298 42713 85426 124609 128139 249218 256278 373827 747654 1370699 2741398 4112097 8224194 15077689 30155378 45233067 90466134