Search a number
-
+
290093940 = 223352323357
BaseRepresentation
bin10001010010100…
…111101101110100
3202012212022002000
4101102213231310
51043231001230
644441415300
710121520633
oct2122475564
9665768060
10290093940
11139828964
128119a530
134813cc26
142a75551a
151a703b60
hex114a7b74

290093940 has 96 divisors (see below), whose sum is σ = 941794560. Its totient is φ = 73991808.

The previous prime is 290093929. The next prime is 290093941. The reversal of 290093940 is 49390092.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 290093895 and 290093904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290093941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742 + ... + 24098.

It is an arithmetic number, because the mean of its divisors is an integer number (9810360).

Almost surely, 2290093940 is an apocalyptic number.

290093940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290093940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470897280).

290093940 is an abundant number, since it is smaller than the sum of its proper divisors (651700620).

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

290093940 is a wasteful number, since it uses less digits than its factorization.

290093940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23398 (or 23390 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 290093940 is about 17032.1443159691. The cubic root of 290093940 is about 661.9820582147.

The spelling of 290093940 in words is "two hundred ninety million, ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 23357 46714 70071 93428 116785 140142 210213 233570 280284 350355 420426 467140 537211 630639 700710 840852 1051065 1074422 1261278 1401420 1611633 2102130 2148844 2522556 2686055 3153195 3223266 4204260 4834899 5372110 6306390 6446532 8058165 9669798 10744220 12612780 14504697 16116330 19339596 24174495 29009394 32232660 48348990 58018788 72523485 96697980 145046970 290093940