Search a number
-
+
2133130440 = 233572539441
BaseRepresentation
bin111111100100100…
…1111110011001000
312111122212020212010
41333021033303020
513332040133230
6551400215520
7103601211120
oct17711176310
95448766763
102133130440
119a5107521
124b646a5a0
1327cc1a97c
14163431c80
15c740d9b0
hex7f24fcc8

2133130440 has 64 divisors (see below), whose sum is σ = 7313592960. Its totient is φ = 487572480.

The previous prime is 2133130357. The next prime is 2133130451. The reversal of 2133130440 is 440313312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1268881 + ... + 1270560.

It is an arithmetic number, because the mean of its divisors is an integer number (114274890).

Almost surely, 22133130440 is an apocalyptic number.

2133130440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133130440 is an abundant number, since it is smaller than the sum of its proper divisors (5180462520).

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

2133130440 is a wasteful number, since it uses less digits than its factorization.

2133130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539462 (or 2539458 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2133130440 is about 46185.8250981835. The cubic root of 2133130440 is about 1287.2783674804.

Adding to 2133130440 its reverse (440313312), we get a palindrome (2573443752).

The spelling of 2133130440 in words is "two billion, one hundred thirty-three million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2539441 5078882 7618323 10157764 12697205 15236646 17776087 20315528 25394410 30473292 35552174 38091615 50788820 53328261 60946584 71104348 76183230 88880435 101577640 106656522 142208696 152366460 177760870 213313044 266641305 304732920 355521740 426626088 533282610 711043480 1066565220 2133130440