Search a number
-
+
90014652 = 22347134371
BaseRepresentation
bin1010101110110…
…00001110111100
320021101012220000
411113120032330
5141020432102
612533154300
72142053250
oct527301674
9207335800
1090014652
11468a1382
122618b990
1315858810
14bd52260
157d8101c
hex55d83bc

90014652 has 240 divisors, whose sum is σ = 300529152. Its totient is φ = 22861440.

The previous prime is 90014651. The next prime is 90014681. The reversal of 90014652 is 25641009.

90014652 is a `hidden beast` number, since 9 + 0 + 0 + 1 + 4 + 652 = 666.

It is a super-2 number, since 2×900146522 = 16205275149362208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90014651) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1267777 + ... + 1267847.

Almost surely, 290014652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90014652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150264576).

90014652 is an abundant number, since it is smaller than the sum of its proper divisors (210514500).

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

90014652 is a wasteful number, since it uses less digits than its factorization.

90014652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90014652 is about 9487.6051772826. The cubic root of 90014652 is about 448.1647924259.

The spelling of 90014652 in words is "ninety million, fourteen thousand, six hundred fifty-two".