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290955420 = 22325737792
BaseRepresentation
bin10001010101111…
…010000010011100
3202021111001210200
4101111322002130
51043441033140
644512103500
710132036350
oct2125720234
9667431720
10290955420
1113a267128
1281534b90
1348382092
142a8db460
151a824030
hex1157a09c

290955420 has 216 divisors, whose sum is σ = 1049184864. Its totient is φ = 63887616.

The previous prime is 290955419. The next prime is 290955433. The reversal of 290955420 is 24559092.

It is a happy number.

290955420 is a `hidden beast` number, since 29 + 0 + 95 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 3682941 + ... + 3683019.

Almost surely, 2290955420 is an apocalyptic number.

290955420 is a gapful number since it is divisible by the number (20) 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 290955420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524592432).

290955420 is an abundant number, since it is smaller than the sum of its proper divisors (758229444).

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

290955420 is a wasteful number, since it uses less digits than its factorization.

290955420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 290955420 is about 17057.4153962434. The cubic root of 290955420 is about 662.6366975549.

The spelling of 290955420 in words is "two hundred ninety million, nine hundred fifty-five thousand, four hundred twenty".