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290013040 = 24513127673
BaseRepresentation
bin10001010010010…
…011111101110000
3202012201012002201
4101102103331300
51043220404130
644435552544
710121033032
oct2122237560
9665635081
10290013040
111397830a9
128115b754
1348112165
142a733c52
151a6d9bca
hex11493f70

290013040 has 40 divisors (see below), whose sum is σ = 679452048. Its totient is φ = 115115520.

The previous prime is 290013011. The next prime is 290013103. The reversal of 290013040 is 40310092.

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

It is a junction number, because it is equal to n+sod(n) for n = 290012999 and 290013017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3357 + ... + 24316.

Almost surely, 2290013040 is an apocalyptic number.

290013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290013040 is an abundant number, since it is smaller than the sum of its proper divisors (389439008).

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

290013040 is a wasteful number, since it uses less digits than its factorization.

290013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27817 (or 27811 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 290013040 is about 17029.7692292057. The cubic root of 290013040 is about 661.9205157047.

It can be divided in two parts, 29001 and 3040, that added together give a square (32041 = 1792).

The spelling of 290013040 in words is "two hundred ninety million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 27673 55346 110692 138365 221384 276730 442768 553460 1106920 2213840 3625163 7250326 14500652 18125815 29001304 36251630 58002608 72503260 145006520 290013040