Search a number
-
+
2020032300 = 22352111347087
BaseRepresentation
bin111100001100111…
…0011111100101100
312012210001021101010
41320121303330230
513114112013200
6532240145220
7101025663666
oct17031637454
95183037333
102020032300
1194728a190
12484608210
1326266c3b0
141523d1536
15bc51d150
hex78673f2c

2020032300 has 144 divisors (see below), whose sum is σ = 6866560512. Its totient is φ = 452025600.

The previous prime is 2020032281. The next prime is 2020032307. The reversal of 2020032300 is 32300202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2020032307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19357 + ... + 66443.

It is an arithmetic number, because the mean of its divisors is an integer number (47684448).

Almost surely, 22020032300 is an apocalyptic number.

2020032300 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 2020032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433280256).

2020032300 is an abundant number, since it is smaller than the sum of its proper divisors (4846528212).

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

2020032300 is a wasteful number, since it uses less digits than its factorization.

2020032300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47128 (or 47121 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2020032300 is about 44944.7694398358. The cubic root of 2020032300 is about 1264.1136025587.

Adding to 2020032300 its reverse (32300202), we get a palindrome (2052332502).

The spelling of 2020032300 in words is "two billion, twenty million, thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 42900 47087 94174 141261 188348 235435 282522 470870 517957 565044 612131 706305 941740 1035914 1177175 1224262 1412610 1553871 1836393 2071828 2354350 2448524 2589785 2825220 3060655 3107742 3531525 3672786 4708700 5179570 6121310 6215484 6733441 7063050 7345572 7769355 9181965 10359140 12242620 12948925 13466882 14126100 15303275 15538710 18363930 20200323 25897850 26933764 30606550 31077420 33667205 36727860 38846775 40400646 45909825 51795700 61213100 67334410 77693550 80801292 91819650 101001615 134668820 155387100 168336025 183639300 202003230 336672050 404006460 505008075 673344100 1010016150 2020032300