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2120474800 = 245273101719
BaseRepresentation
bin111111001100011…
…1110000010110000
312110210001021120201
41332120332002300
513320320143200
6550225044544
7103355511163
oct17630760260
95423037521
102120474800
11998a53114
124b2186754
1327a409422
14161899ada
15c625dc6a
hex7e63e0b0

2120474800 has 120 divisors (see below), whose sum is σ = 5222612160. Its totient is φ = 827136000.

The previous prime is 2120474771. The next prime is 2120474819. The reversal of 2120474800 is 84740212.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2948841 + ... + 2949559.

It is an arithmetic number, because the mean of its divisors is an integer number (43521768).

Almost surely, 22120474800 is an apocalyptic number.

2120474800 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 2120474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611306080).

2120474800 is an abundant number, since it is smaller than the sum of its proper divisors (3102137360).

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

2120474800 is a wasteful number, since it uses less digits than its factorization.

2120474800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 2120474800 is about 46048.6134427520. The cubic root of 2120474800 is about 1284.7275535587.

The spelling of 2120474800 in words is "two billion, one hundred twenty million, four hundred seventy-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 101 146 200 202 292 365 400 404 505 584 719 730 808 1010 1168 1438 1460 1616 1825 2020 2525 2876 2920 3595 3650 4040 5050 5752 5840 7190 7300 7373 8080 10100 11504 14380 14600 14746 17975 20200 28760 29200 29492 35950 36865 40400 52487 57520 58984 71900 72619 73730 104974 117968 143800 145238 147460 184325 209948 262435 287600 290476 294920 363095 368650 419896 524870 580952 589840 726190 737300 839792 1049740 1161904 1312175 1452380 1474600 1815475 2099480 2624350 2904760 2949200 3630950 4198960 5248700 5301187 5809520 7261900 10497400 10602374 14523800 20994800 21204748 26505935 29047600 42409496 53011870 84818992 106023740 132529675 212047480 265059350 424094960 530118700 1060237400 2120474800