Search a number
-
+
90144945 = 32511182111
BaseRepresentation
bin1010101111110…
…00000010110001
320021121211121200
411113320002301
5141034114240
612540041413
72143135152
oct527700261
9207554550
1090144945
1146980260
1226233269
13158a2c07
14bd87929
157da9930
hex55f80b1

90144945 has 24 divisors (see below), whose sum is σ = 170456832. Its totient is φ = 43706400.

The previous prime is 90144883. The next prime is 90144947. The reversal of 90144945 is 54944109.

It is a happy number.

It is not a de Polignac number, because 90144945 - 28 = 90144689 is a prime.

It is a super-2 number, since 2×901449452 = 16252222218106050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90144947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90561 + ... + 91550.

It is an arithmetic number, because the mean of its divisors is an integer number (7102368).

Almost surely, 290144945 is an apocalyptic number.

It is an amenable number.

90144945 is a deficient number, since it is larger than the sum of its proper divisors (80311887).

90144945 is a wasteful number, since it uses less digits than its factorization.

90144945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182133 (or 182130 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 90144945 is about 9494.4691794750. The cubic root of 90144945 is about 448.3809223663.

The spelling of 90144945 in words is "ninety million, one hundred forty-four thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 182111 546333 910555 1638999 2003221 2731665 6009663 8194995 10016105 18028989 30048315 90144945