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90980180 = 22523972039
BaseRepresentation
bin1010110110000…
…11111101010100
320100012021100022
411123003331110
5141242331210
613010004312
72153214224
oct533037524
9210167308
1090980180
11473a0835
1226576698
1315b06135
14c124084
157ec2155
hex56c3f54

90980180 has 48 divisors (see below), whose sum is σ = 201519360. Its totient is φ = 34434048.

The previous prime is 90980179. The next prime is 90980191. The reversal of 90980180 is 8108909.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90980180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43601 + ... + 45639.

It is an arithmetic number, because the mean of its divisors is an integer number (4198320).

Almost surely, 290980180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90980180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100759680).

90980180 is an abundant number, since it is smaller than the sum of its proper divisors (110539180).

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

90980180 is a wasteful number, since it uses less digits than its factorization.

90980180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 90980180 is about 9538.3531073241. The cubic root of 90980180 is about 449.7614867720.

The spelling of 90980180 in words is "ninety million, nine hundred eighty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 97 115 194 230 388 460 485 970 1940 2039 2231 4078 4462 8156 8924 10195 11155 20390 22310 40780 44620 46897 93794 187588 197783 234485 395566 468970 791132 937940 988915 1977830 3955660 4549009 9098018 18196036 22745045 45490090 90980180