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90014840 = 23529731063
BaseRepresentation
bin1010101110110…
…00010001111000
320021101020010222
411113120101320
5141020433330
612533155212
72142053636
oct527302170
9207336128
1090014840
11468a1533
122618bb08
1315858926
14bd52356
157d810e5
hex55d8478

90014840 has 64 divisors (see below), whose sum is σ = 212587200. Its totient is φ = 34255872.

The previous prime is 90014839. The next prime is 90014849. The reversal of 90014840 is 4841009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90014849) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84149 + ... + 85211.

It is an arithmetic number, because the mean of its divisors is an integer number (3321675).

Almost surely, 290014840 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 90014840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106293600).

90014840 is an abundant number, since it is smaller than the sum of its proper divisors (122572360).

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

90014840 is a wasteful number, since it uses less digits than its factorization.

90014840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 90014840 is about 9487.6150849410. The cubic root of 90014840 is about 448.1651044304.

Adding to 90014840 its reverse (4841009), we get a palindrome (94855849).

The spelling of 90014840 in words is "ninety million, fourteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 73 116 145 146 232 290 292 365 580 584 730 1063 1160 1460 2117 2126 2920 4234 4252 5315 8468 8504 10585 10630 16936 21170 21260 30827 42340 42520 61654 77599 84680 123308 154135 155198 246616 308270 310396 387995 616540 620792 775990 1233080 1551980 2250371 3103960 4500742 9001484 11251855 18002968 22503710 45007420 90014840