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90165940 = 2254508297
BaseRepresentation
bin1010101111111…
…01001010110100
320021122220102021
411113331022310
5141040302230
612540322524
72143253314
oct527751264
9207586367
1090165940
1146995007
1226243444
13158ac637
14bd91444
157db0c7a
hex55fd2b4

90165940 has 12 divisors (see below), whose sum is σ = 189348516. Its totient is φ = 36066368.

The previous prime is 90165931. The next prime is 90165947. The reversal of 90165940 is 4956109.

It can be written as a sum of positive squares in 2 ways, for example, as 23155344 + 67010596 = 4812^2 + 8186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90165896 and 90165905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90165947) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2254129 + ... + 2254168.

It is an arithmetic number, because the mean of its divisors is an integer number (15779043).

Almost surely, 290165940 is an apocalyptic number.

It is an amenable number.

90165940 is an abundant number, since it is smaller than the sum of its proper divisors (99182576).

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

90165940 is a wasteful number, since it uses less digits than its factorization.

90165940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508306 (or 4508304 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 90165940 is about 9495.5747588021. The cubic root of 90165940 is about 448.4157293716.

The spelling of 90165940 in words is "ninety million, one hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 4508297 9016594 18033188 22541485 45082970 90165940