Search a number
-
+
90067341 = 373136733
BaseRepresentation
bin1010101111001…
…01000110001101
320021110220011110
411113211012031
5141024123331
612534242233
72142363000
oct527450615
9207426143
1090067341
1146927a21
12261b6379
13158767b0
14bd67537
157d91946
hex55e518d

90067341 has 32 divisors (see below), whose sum is σ = 150841600. Its totient is φ = 47500992.

The previous prime is 90067339. The next prime is 90067349. The reversal of 90067341 is 14376009.

It is a happy number.

It is not a de Polignac number, because 90067341 - 21 = 90067339 is a prime.

It is a super-2 number, since 2×900673412 = 16224251829620562, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90067299 and 90067308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90067349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10011 + ... + 16743.

It is an arithmetic number, because the mean of its divisors is an integer number (4713800).

Almost surely, 290067341 is an apocalyptic number.

90067341 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

90067341 is a deficient number, since it is larger than the sum of its proper divisors (60774259).

90067341 is a wasteful number, since it uses less digits than its factorization.

90067341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6770 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 90067341 is about 9490.3814991812. The cubic root of 90067341 is about 448.2522180040.

The spelling of 90067341 in words is "ninety million, sixty-seven thousand, three hundred forty-one".

Divisors: 1 3 7 13 21 39 49 91 147 273 343 637 1029 1911 4459 6733 13377 20199 47131 87529 141393 262587 329917 612703 989751 1838109 2309419 4288921 6928257 12866763 30022447 90067341