Search a number
-
+
1924020 = 223357509
BaseRepresentation
bin111010101101110110100
310121202021000
413111232310
5443032040
6105123300
722232250
oct7255664
93552230
101924020
1110a45aa
12789530
13524997
14381260
15280130
hex1d5bb4

1924020 has 96 divisors (see below), whose sum is σ = 6854400. Its totient is φ = 438912.

The previous prime is 1924003. The next prime is 1924031. The reversal of 1924020 is 204291.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1923984 and 1924002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3526 + ... + 4034.

It is an arithmetic number, because the mean of its divisors is an integer number (71400).

21924020 is an apocalyptic number.

1924020 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 1924020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200).

1924020 is an abundant number, since it is smaller than the sum of its proper divisors (4930380).

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

1924020 is a wasteful number, since it uses less digits than its factorization.

1924020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1924020 is about 1387.0904801057. The cubic root of 1924020 is about 124.3759833428.

The spelling of 1924020 in words is "one million, nine hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 509 540 630 756 945 1018 1260 1527 1890 2036 2545 3054 3563 3780 4581 5090 6108 7126 7635 9162 10180 10689 13743 14252 15270 17815 18324 21378 22905 27486 30540 32067 35630 42756 45810 53445 54972 64134 68715 71260 91620 96201 106890 128268 137430 160335 192402 213780 274860 320670 384804 481005 641340 962010 1924020