Search a number
-
+
2941028900 = 2252173155807
BaseRepresentation
bin1010111101001100…
…1000101000100100
321120222001202012022
42233103020220210
522010400411100
61203500242312
7132611222165
oct25723105044
97528052168
102941028900
11127a1525a7
126a0b40398
1337b4079b4
141dc85576c
151232e5e85
hexaf4c8a24

2941028900 has 72 divisors (see below), whose sum is σ = 6975553536. Its totient is φ = 1071475200.

The previous prime is 2941028899. The next prime is 2941028911. The reversal of 2941028900 is 98201492.

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, 24797 + ... + 80603.

It is an arithmetic number, because the mean of its divisors is an integer number (96882688).

Almost surely, 22941028900 is an apocalyptic number.

2941028900 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 2941028900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487776768).

2941028900 is an abundant number, since it is smaller than the sum of its proper divisors (4034524636).

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

2941028900 is a wasteful number, since it uses less digits than its factorization.

2941028900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55869 (or 55862 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 2941028900 is about 54231.2539039989. The cubic root of 2941028900 is about 1432.7368487354.

The spelling of 2941028900 in words is "two billion, nine hundred forty-one million, twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 310 340 425 527 620 775 850 1054 1550 1700 2108 2635 3100 5270 10540 13175 26350 52700 55807 111614 223228 279035 558070 948719 1116140 1395175 1730017 1897438 2790350 3460034 3794876 4743595 5580700 6920068 8650085 9487190 17300170 18974380 23717975 29410289 34600340 43250425 47435950 58820578 86500850 94871900 117641156 147051445 173001700 294102890 588205780 735257225 1470514450 2941028900