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90207420 = 223510714051
BaseRepresentation
bin1010110000001…
…11010010111100
320021202000022120
411120013102330
5141043114140
612541242540
72143515252
oct530072274
9207660276
1090207420
1146a13196
1226263450
13158c5494
14bda25d2
157dbd1d0
hex56074bc

90207420 has 48 divisors (see below), whose sum is σ = 254959488. Its totient is φ = 23828800.

The previous prime is 90207409. The next prime is 90207433. The reversal of 90207420 is 2470209.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 606 + ... + 13445.

It is an arithmetic number, because the mean of its divisors is an integer number (5311656).

Almost surely, 290207420 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 90207420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127479744).

90207420 is an abundant number, since it is smaller than the sum of its proper divisors (164752068).

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

90207420 is a wasteful number, since it uses less digits than its factorization.

90207420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14170 (or 14168 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 90207420 is about 9497.7586829736. The cubic root of 90207420 is about 448.4844819881.

Adding to 90207420 its reverse (2470209), we get a palindrome (92677629).

The spelling of 90207420 in words is "ninety million, two hundred seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 14051 28102 42153 56204 70255 84306 140510 168612 210765 281020 421530 843060 1503457 3006914 4510371 6013828 7517285 9020742 15034570 18041484 22551855 30069140 45103710 90207420