Search a number
-
+
2142450120 = 233527165881
BaseRepresentation
bin111111110110011…
…0011000111001000
312112022101202001110
41333230303013020
513341431400440
6552332050320
7104043345156
oct17754630710
95468352043
102142450120
119aa3a2538
124b96039a0
13281b31985
1416477a3d6
15c8150080
hex7fb331c8

2142450120 has 64 divisors (see below), whose sum is σ = 6451165440. Its totient is φ = 569203200.

The previous prime is 2142450073. The next prime is 2142450131. The reversal of 2142450120 is 210542412.

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, 421 + ... + 65460.

It is an arithmetic number, because the mean of its divisors is an integer number (100799460).

Almost surely, 22142450120 is an apocalyptic number.

2142450120 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 2142450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225582720).

2142450120 is an abundant number, since it is smaller than the sum of its proper divisors (4308715320).

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

2142450120 is a wasteful number, since it uses less digits than its factorization.

2142450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66166 (or 66162 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2142450120 is about 46286.6084305169. The cubic root of 2142450120 is about 1289.1503569269.

Adding to 2142450120 its reverse (210542412), we get a palindrome (2352992532).

The spelling of 2142450120 in words is "two billion, one hundred forty-two million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 542 813 1084 1355 1626 2168 2710 3252 4065 5420 6504 8130 10840 16260 32520 65881 131762 197643 263524 329405 395286 527048 658810 790572 988215 1317620 1581144 1976430 2635240 3952860 7905720 17853751 35707502 53561253 71415004 89268755 107122506 142830008 178537510 214245012 267806265 357075020 428490024 535612530 714150040 1071225060 2142450120