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90190560 = 2535187897
BaseRepresentation
bin1010110000000…
…11001011100000
320021201011012010
411120003023200
5141042044220
612541032520
72143415145
oct530031340
9207634163
1090190560
1146a01559
1226255740
13158ba8c5
14bd9a3cc
157db81e0
hex56032e0

90190560 has 48 divisors (see below), whose sum is σ = 284101776. Its totient is φ = 24050688.

The previous prime is 90190547. The next prime is 90190561. The reversal of 90190560 is 6509109.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×901905602 = 16268674226227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90190561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93469 + ... + 94428.

It is an arithmetic number, because the mean of its divisors is an integer number (5918787).

Almost surely, 290190560 is an apocalyptic number.

It is an amenable number.

90190560 is an abundant number, since it is smaller than the sum of its proper divisors (193911216).

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

90190560 is a wasteful number, since it uses less digits than its factorization.

90190560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187915 (or 187907 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 90190560 is about 9496.8710636714. The cubic root of 90190560 is about 448.4565392775.

Adding to 90190560 its reverse (6509109), we get a palindrome (96699669).

The spelling of 90190560 in words is "ninety million, one hundred ninety thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 187897 375794 563691 751588 939485 1127382 1503176 1878970 2254764 2818455 3006352 3757940 4509528 5636910 6012704 7515880 9019056 11273820 15031760 18038112 22547640 30063520 45095280 90190560