Search a number
-
+
2133745000 = 2354587727
BaseRepresentation
bin111111100101110…
…0101110101101000
312111201000110212121
41333023211311220
513332214320000
6551421321024
7103606350622
oct17713456550
95451013777
102133745000
119a5497222
124b6706174
132800a460a
14163551c12
15c74d0b1a
hex7f2e5d68

2133745000 has 80 divisors (see below), whose sum is σ = 5014769760. Its totient is φ = 850872000.

The previous prime is 2133744989. The next prime is 2133745027. The reversal of 2133745000 is 5473312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2934637 + ... + 2935363.

It is an arithmetic number, because the mean of its divisors is an integer number (62684622).

Almost surely, 22133745000 is an apocalyptic number.

2133745000 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 2133745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507384880).

2133745000 is an abundant number, since it is smaller than the sum of its proper divisors (2881024760).

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

2133745000 is an equidigital number, since it uses as much as digits as its factorization.

2133745000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 2133745000 is about 46192.4777425935. The cubic root of 2133745000 is about 1287.4019782728.

The spelling of 2133745000 in words is "two billion, one hundred thirty-three million, seven hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 587 625 727 1000 1174 1250 1454 2348 2500 2908 2935 3635 4696 5000 5816 5870 7270 11740 14540 14675 18175 23480 29080 29350 36350 58700 72700 73375 90875 117400 145400 146750 181750 293500 363500 366875 426749 454375 587000 727000 733750 853498 908750 1467500 1706996 1817500 2133745 2935000 3413992 3635000 4267490 8534980 10668725 17069960 21337450 42674900 53343625 85349800 106687250 213374500 266718125 426749000 533436250 1066872500 2133745000