Search a number
-
+
2321432120 = 235773137829
BaseRepresentation
bin1000101001011110…
…0011111000111000
312222210011222012102
42022113203320320
514223241311440
61022204202532
7111345563450
oct21227437070
95883158172
102321432120
11a9142a347
12549539448
132acc3a397
1418044ad60
15d8c06b15
hex8a5e3e38

2321432120 has 128 divisors (see below), whose sum is σ = 6102691200. Its totient is φ = 778346496.

The previous prime is 2321432119. The next prime is 2321432129. The reversal of 2321432120 is 212341232.

2321432120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2321432092 and 2321432101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321432129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799866 + ... + 2800694.

It is an arithmetic number, because the mean of its divisors is an integer number (47677275).

Almost surely, 22321432120 is an apocalyptic number.

2321432120 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 2321432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051345600).

2321432120 is an abundant number, since it is smaller than the sum of its proper divisors (3781259080).

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

2321432120 is a wasteful number, since it uses less digits than its factorization.

2321432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2321432120 is about 48181.2424082236. The cubic root of 2321432120 is about 1324.0935288054.

Adding to 2321432120 its reverse (212341232), we get a palindrome (2533773352).

The spelling of 2321432120 in words is "two billion, three hundred twenty-one million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 137 140 146 274 280 292 365 511 548 584 685 730 829 959 1022 1096 1370 1460 1658 1918 2044 2555 2740 2920 3316 3836 4088 4145 4795 5110 5480 5803 6632 7672 8290 9590 10001 10220 11606 16580 19180 20002 20440 23212 29015 33160 38360 40004 46424 50005 58030 60517 70007 80008 100010 113573 116060 121034 140014 200020 227146 232120 242068 280028 302585 350035 400040 423619 454292 484136 560056 567865 605170 700070 795011 847238 908584 1135730 1210340 1400140 1590022 1694476 2118095 2271460 2420680 2800280 3180044 3388952 3975055 4236190 4542920 6360088 7950110 8290829 8472380 15900220 16581658 16944760 31800440 33163316 41454145 58035803 66326632 82908290 116071606 165816580 232143212 290179015 331633160 464286424 580358030 1160716060 2321432120