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90290340 = 223257229353
BaseRepresentation
bin1010110000110…
…11100010100100
320021220020001200
411120123202210
5141103242330
612543122500
72144312100
oct530334244
9207806050
1090290340
1146a6a518
12262a3430
131592414a
14bdc4900
157dd7a60
hex561b8a4

90290340 has 216 divisors, whose sum is σ = 330515640. Its totient is φ = 19869696.

The previous prime is 90290303. The next prime is 90290351. The reversal of 90290340 is 4309209.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 83064996 = 2688^2 + 9114^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255604 + ... + 255956.

It is an arithmetic number, because the mean of its divisors is an integer number (1530165).

Almost surely, 290290340 is an apocalyptic number.

90290340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90290340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165257820).

90290340 is an abundant number, since it is smaller than the sum of its proper divisors (240225300).

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

90290340 is a wasteful number, since it uses less digits than its factorization.

90290340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90290340 is about 9502.1229206951. The cubic root of 90290340 is about 448.6218577693.

Adding to 90290340 its reverse (4309209), we get a palindrome (94599549).

The spelling of 90290340 in words is "ninety million, two hundred ninety thousand, three hundred forty".