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1990820 = 2251321931
BaseRepresentation
bin111100110000010100100
310202010220002
413212002210
51002201240
6110400432
722631066
oct7460244
93663802
101990820
11113a807
12800118
13549200
1439b736
15294d15
hex1e60a4

1990820 has 72 divisors (see below), whose sum is σ = 4919040. Its totient is φ = 673920.

The previous prime is 1990787. The next prime is 1990823. The reversal of 1990820 is 280991.

1990820 = 1422 + 1432 + ... + 2062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990823) 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, 64205 + ... + 64235.

It is an arithmetic number, because the mean of its divisors is an integer number (68320).

21990820 is an apocalyptic number.

1990820 is a gapful number since it is divisible by the number (10) 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 1990820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459520).

1990820 is an abundant number, since it is smaller than the sum of its proper divisors (2928220).

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

1990820 is a wasteful number, since it uses less digits than its factorization.

1990820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 1990820 is about 1410.9642093264. The cubic root of 1990820 is about 125.7990413795.

The spelling of 1990820 in words is "one million, nine hundred ninety thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 31 38 52 62 65 76 95 124 130 155 169 190 247 260 310 338 380 403 494 589 620 676 806 845 988 1178 1235 1612 1690 2015 2356 2470 2945 3211 3380 4030 4940 5239 5890 6422 7657 8060 10478 11780 12844 15314 16055 20956 26195 30628 32110 38285 52390 64220 76570 99541 104780 153140 199082 398164 497705 995410 1990820