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290611920 = 24351210883
BaseRepresentation
bin10001010100100…
…110001011010000
3202020211121121110
4101110212023100
51043344040140
644500453320
710126106034
oct2124461320
9666747543
10290611920
1113a052045
12813aa240
1348291921
142a84c1c4
151a7a7380
hex115262d0

290611920 has 40 divisors (see below), whose sum is σ = 900897696. Its totient is φ = 77496448.

The previous prime is 290611913. The next prime is 290611921. The reversal of 290611920 is 29116092.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 (290611921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605202 + ... + 605681.

Almost surely, 2290611920 is an apocalyptic number.

290611920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290611920 is an abundant number, since it is smaller than the sum of its proper divisors (610285776).

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

290611920 is a wasteful number, since it uses less digits than its factorization.

290611920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210899 (or 1210893 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 290611920 is about 17047.3434880629. The cubic root of 290611920 is about 662.3758267334.

The spelling of 290611920 in words is "two hundred ninety million, six hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1210883 2421766 3632649 4843532 6054415 7265298 9687064 12108830 14530596 18163245 19374128 24217660 29061192 36326490 48435320 58122384 72652980 96870640 145305960 290611920