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90514890 = 23252373599
BaseRepresentation
bin1010110010100…
…10010111001010
320022022122002100
411121102113022
5141132434030
612552014230
72146235544
oct531222712
9208278070
1090514890
11471031a4
1226391376
13159a240b
14c042694
157e2e360
hex56525ca

90514890 has 96 divisors (see below), whose sum is σ = 249350400. Its totient is φ = 22733568.

The previous prime is 90514889. The next prime is 90514933. The reversal of 90514890 is 9841509.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150811 + ... + 151409.

It is an arithmetic number, because the mean of its divisors is an integer number (2597400).

Almost surely, 290514890 is an apocalyptic number.

90514890 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90514890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124675200).

90514890 is an abundant number, since it is smaller than the sum of its proper divisors (158835510).

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

90514890 is a wasteful number, since it uses less digits than its factorization.

90514890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 90514890 is about 9513.9313640577. The cubic root of 90514890 is about 448.9934539714.

The spelling of 90514890 in words is "ninety million, five hundred fourteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 73 90 115 138 146 207 219 230 345 365 414 438 599 657 690 730 1035 1095 1198 1314 1679 1797 2070 2190 2995 3285 3358 3594 5037 5391 5990 6570 8395 8985 10074 10782 13777 15111 16790 17970 25185 26955 27554 30222 41331 43727 50370 53910 68885 75555 82662 87454 123993 131181 137770 151110 206655 218635 247986 262362 393543 413310 437270 619965 655905 787086 1005721 1239930 1311810 1967715 2011442 3017163 3935430 5028605 6034326 9051489 10057210 15085815 18102978 30171630 45257445 90514890