Search a number
-
+
2029350 = 235283163
BaseRepresentation
bin111101111011100100110
310211002202010
413233130212
51004414400
6111255050
723151321
oct7573446
93732663
102029350
111166754
1281a486
135608cb
143ab7b8
152a1450
hex1ef726

2029350 has 48 divisors (see below), whose sum is σ = 5124672. Its totient is φ = 531360.

The previous prime is 2029331. The next prime is 2029351. The reversal of 2029350 is 539202.

2029350 = 902 + 912 + ... + 1892.

It is a super-2 number, since 2×20293502 = 8236522845000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12369 + ... + 12531.

It is an arithmetic number, because the mean of its divisors is an integer number (106764).

22029350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562336).

2029350 is an abundant number, since it is smaller than the sum of its proper divisors (3095322).

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

2029350 is a wasteful number, since it uses less digits than its factorization.

2029350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 2029350 is about 1424.5525613329. The cubic root of 2029350 is about 126.6054259209.

The spelling of 2029350 in words is "two million, twenty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 150 163 166 249 326 415 489 498 815 830 978 1245 1630 2075 2445 2490 4075 4150 4890 6225 8150 12225 12450 13529 24450 27058 40587 67645 81174 135290 202935 338225 405870 676450 1014675 2029350