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90041820 = 223511227601
BaseRepresentation
bin1010101110111…
…10110111011100
320021102121011020
411113132313130
5141022314240
612533524140
72142225411
oct527366734
9207377136
1090041820
114690a830
12261a3650
1315867cab
14bd5c108
157d890d0
hex55deddc

90041820 has 96 divisors (see below), whose sum is σ = 276708096. Its totient is φ = 21696000.

The previous prime is 90041813. The next prime is 90041873. The reversal of 90041820 is 2814009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149520 + ... + 150120.

It is an arithmetic number, because the mean of its divisors is an integer number (2882376).

Almost surely, 290041820 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 90041820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138354048).

90041820 is an abundant number, since it is smaller than the sum of its proper divisors (186666276).

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

90041820 is a wasteful number, since it uses less digits than its factorization.

90041820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 90041820 is about 9489.0368320499. The cubic root of 90041820 is about 448.2098758875.

Adding to 90041820 its reverse (2814009), we get a palindrome (92855829).

The spelling of 90041820 in words is "ninety million, forty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 227 330 454 601 660 681 908 1135 1202 1362 1803 2270 2404 2497 2724 3005 3405 3606 4540 4994 6010 6611 6810 7212 7491 9015 9988 12020 12485 13222 13620 14982 18030 19833 24970 26444 29964 33055 36060 37455 39666 49940 66110 74910 79332 99165 132220 136427 149820 198330 272854 396660 409281 545708 682135 818562 1364270 1500697 1637124 2046405 2728540 3001394 4092810 4502091 6002788 7503485 8185620 9004182 15006970 18008364 22510455 30013940 45020910 90041820