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90381380 = 2253723301
BaseRepresentation
bin1010110001100…
…01110001000100
320022001211221112
411120301301010
5141114201010
612545104152
72145141365
oct530616104
9208054845
1090381380
1147021961
1226328058
131595670b
14c009b6c
157e04a05
hex5631c44

90381380 has 36 divisors (see below), whose sum is σ = 195128388. Its totient is φ = 35164800.

The previous prime is 90381349. The next prime is 90381397. The reversal of 90381380 is 8318309.

It can be written as a sum of positive squares in 6 ways, for example, as 4596736 + 85784644 = 2144^2 + 9262^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25730 + ... + 29030.

It is an arithmetic number, because the mean of its divisors is an integer number (5420233).

Almost surely, 290381380 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 90381380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97564194).

90381380 is an abundant number, since it is smaller than the sum of its proper divisors (104747008).

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

90381380 is a wasteful number, since it uses less digits than its factorization.

90381380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 90381380 is about 9506.9122221676. The cubic root of 90381380 is about 448.7725893404.

Adding to 90381380 its reverse (8318309), we get a palindrome (98699689).

The spelling of 90381380 in words is "ninety million, three hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1369 2738 3301 5476 6602 6845 13204 13690 16505 27380 33010 66020 122137 244274 488548 610685 1221370 2442740 4519069 9038138 18076276 22595345 45190690 90381380