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290129196 = 22372598363
BaseRepresentation
bin10001010010110…
…000010100101100
3202012221002102210
4101102300110230
51043233113241
644442250420
710122025500
oct2122602454
9665832383
10290129196
111398523a5
12811b6a10
1348152ca6
142a764300
151a70e316
hex114b052c

290129196 has 72 divisors (see below), whose sum is σ = 800936640. Its totient is φ = 81479328.

The previous prime is 290129171. The next prime is 290129197. The reversal of 290129196 is 691921092.

It is not an unprimeable number, because it can be changed into a prime (290129197) 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 23 ways as a sum of consecutive naturals, for example, 30511 + ... + 38873.

It is an arithmetic number, because the mean of its divisors is an integer number (11124120).

Almost surely, 2290129196 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 290129196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400468320).

290129196 is an abundant number, since it is smaller than the sum of its proper divisors (510807444).

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

290129196 is a wasteful number, since it uses less digits than its factorization.

290129196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443 (or 8434 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 290129196 is about 17033.1792687096. The cubic root of 290129196 is about 662.0088746935.

The spelling of 290129196 in words is "two hundred ninety million, one hundred twenty-nine thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 588 708 826 1239 1652 2478 2891 4956 5782 8363 8673 11564 16726 17346 25089 33452 34692 50178 58541 100356 117082 175623 234164 351246 409787 493417 702492 819574 986834 1229361 1480251 1639148 1973668 2458722 2960502 3453919 4917444 5921004 6907838 10361757 13815676 20723514 24177433 41447028 48354866 72532299 96709732 145064598 290129196