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8490720 = 253572192
BaseRepresentation
bin100000011000…
…111011100000
3120222101002010
4200120323200
54133200340
6501552520
7132112200
oct40307340
916871063
108490720
11487a227
122a15740
1319b38c4
1411b0400
15b2ab80
hex818ee0

8490720 has 216 divisors, whose sum is σ = 32836104. Its totient is φ = 1838592.

The previous prime is 8490673. The next prime is 8490721. The reversal of 8490720 is 270948.

It is a super-2 number, since 2×84907202 = 144184652236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8490721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 446871 + ... + 446889.

It is an arithmetic number, because the mean of its divisors is an integer number (152019).

Almost surely, 28490720 is an apocalyptic number.

8490720 is a gapful number since it is divisible by the number (80) 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 8490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418052).

8490720 is an abundant number, since it is smaller than the sum of its proper divisors (24345384).

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

8490720 is a wasteful number, since it uses less digits than its factorization.

8490720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 8490720 is about 2913.8840059275. The cubic root of 8490720 is about 204.0084579346.

Multiplying 8490720 by its sum of digits (30), we get a square (254721600 = 159602).

8490720 divided by its sum of digits (30) gives a square (283024 = 5322).

The spelling of 8490720 in words is "eight million, four hundred ninety thousand, seven hundred twenty".