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290072860 = 225711188359
BaseRepresentation
bin10001010010100…
…010100100011100
3202012211020011021
4101102202210130
51043224312420
644441133524
710121402320
oct2122424434
9665736137
10290072860
11139814040
128118a2a4
134813345c
142a74b980
151a6ec7aa
hex114a291c

290072860 has 48 divisors (see below), whose sum is σ = 759467520. Its totient is φ = 90411840.

The previous prime is 290072837. The next prime is 290072879. The reversal of 290072860 is 68270092.

290072860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 92640 + ... + 95719.

It is an arithmetic number, because the mean of its divisors is an integer number (15822240).

Almost surely, 2290072860 is an apocalyptic number.

290072860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290072860 is an abundant number, since it is smaller than the sum of its proper divisors (469394660).

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

290072860 is a wasteful number, since it uses less digits than its factorization.

290072860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188386 (or 188384 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 290072860 is about 17031.5254748364. The cubic root of 290072860 is about 661.9660232712.

The spelling of 290072860 in words is "two hundred ninety million, seventy-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 188359 376718 753436 941795 1318513 1883590 2071949 2637026 3767180 4143898 5274052 6592565 8287796 10359745 13185130 14503643 20719490 26370260 29007286 41438980 58014572 72518215 145036430 290072860