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90369945 = 3352941563
BaseRepresentation
bin1010110001011…
…10111110011001
320022001021021000
411120232332121
5141113314240
612544535213
72145063141
oct530567631
9208037230
1090369945
1147014306
1226321509
1315951453
14c005921
157e01430
hex562ef99

90369945 has 64 divisors (see below), whose sum is σ = 170553600. Its totient is φ = 45319680.

The previous prime is 90369941. The next prime is 90369949. The reversal of 90369945 is 54996309.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90369941) and next prime (90369949).

It is not a de Polignac number, because 90369945 - 22 = 90369941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90369945.

It is not an unprimeable number, because it can be changed into a prime (90369941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160234 + ... + 160796.

It is an arithmetic number, because the mean of its divisors is an integer number (2664900).

Almost surely, 290369945 is an apocalyptic number.

It is an amenable number.

90369945 is a deficient number, since it is larger than the sum of its proper divisors (80183655).

90369945 is a wasteful number, since it uses less digits than its factorization.

90369945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 90369945 is about 9506.3107986221. The cubic root of 90369945 is about 448.7536623926.

It can be divided in two parts, 9036 and 9945, that added together give a palindrome (18981).

The spelling of 90369945 in words is "ninety million, three hundred sixty-nine thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 29 41 45 87 123 135 145 205 261 369 435 563 615 783 1107 1189 1305 1689 1845 2815 3567 3915 5067 5535 5945 8445 10701 15201 16327 17835 23083 25335 32103 48981 53505 69249 76005 81635 115415 146943 160515 207747 244905 346245 440829 623241 669407 734715 1038735 2008221 2204145 3116205 3347035 6024663 10041105 18073989 30123315 90369945