Search a number
-
+
2129139800 = 235215767807
BaseRepresentation
bin111111011101000…
…0001100001011000
312111101100111201122
41332322001201120
513330024433200
6551134504412
7103522250444
oct17672014130
95441314648
102129139800
119a2931277
124b5065108
1327c151448
14162ab3824
15c6dc1385
hex7ee81858

2129139800 has 48 divisors (see below), whose sum is σ = 4981853760. Its totient is φ = 846218880.

The previous prime is 2129139769. The next prime is 2129139811. The reversal of 2129139800 is 89319212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2504 + ... + 65303.

It is an arithmetic number, because the mean of its divisors is an integer number (103788620).

Almost surely, 22129139800 is an apocalyptic number.

2129139800 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 2129139800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490926880).

2129139800 is an abundant number, since it is smaller than the sum of its proper divisors (2852713960).

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

2129139800 is a wasteful number, since it uses less digits than its factorization.

2129139800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67980 (or 67971 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 2129139800 is about 46142.6028741336. The cubic root of 2129139800 is about 1286.4751236908.

The spelling of 2129139800 in words is "two billion, one hundred twenty-nine million, one hundred thirty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 7850 15700 31400 67807 135614 271228 339035 542456 678070 1356140 1695175 2712280 3390350 6780700 10645699 13561400 21291398 42582796 53228495 85165592 106456990 212913980 266142475 425827960 532284950 1064569900 2129139800