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290093680 = 2453626171
BaseRepresentation
bin10001010010100…
…111101001110000
3202012212021201101
4101102213221300
51043230444210
644441414144
710121520112
oct2122475160
9665767641
10290093680
11139828748
128119a354
134813ca86
142a7553b2
151a703a3a
hex114a7a70

290093680 has 20 divisors (see below), whose sum is σ = 674467992. Its totient is φ = 116037440.

The previous prime is 290093651. The next prime is 290093689. The reversal of 290093680 is 86390092.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290093689) 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 3 ways as a sum of consecutive naturals, for example, 1813006 + ... + 1813165.

Almost surely, 2290093680 is an apocalyptic number.

290093680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290093680 is an abundant number, since it is smaller than the sum of its proper divisors (384374312).

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

290093680 is a wasteful number, since it uses less digits than its factorization.

290093680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626184 (or 3626178 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 290093680 is about 17032.1366833407. The cubic root of 290093680 is about 661.9818604450.

It can be divided in two parts, 2900 and 93680, that added together give a triangular number (96580 = T439).

The spelling of 290093680 in words is "two hundred ninety million, ninety-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3626171 7252342 14504684 18130855 29009368 36261710 58018736 72523420 145046840 290093680