Search a number
-
+
2036420 = 2251923233
BaseRepresentation
bin111110001001011000100
310211110102222
413301023010
51010131140
6111351512
723211041
oct7611304
93743388
102036420
111170aa1
12822598
13563ba9
143b01c8
152a35b5
hex1f12c4

2036420 has 48 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 734976.

The previous prime is 2036393. The next prime is 2036423. The reversal of 2036420 is 246302.

Together with 2681019 it forms a betrothed pair.

It is not an unprimeable number, because it can be changed into a prime (2036423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8624 + ... + 8856.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

22036420 is an apocalyptic number.

2036420 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 2036420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

2036420 is an abundant number, since it is smaller than the sum of its proper divisors (2681020).

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

2036420 is a wasteful number, since it uses less digits than its factorization.

2036420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2036420 is about 1427.0318847174. The cubic root of 2036420 is about 126.7522813009.

The spelling of 2036420 in words is "two million, thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 233 380 437 460 466 874 932 1165 1748 2185 2330 4370 4427 4660 5359 8740 8854 10718 17708 21436 22135 26795 44270 53590 88540 101821 107180 203642 407284 509105 1018210 2036420