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2130372 = 223217592
BaseRepresentation
bin1000001000000111000100
311000020022200
420020013010
51021132442
6113354500
724051666
oct10100704
94006280
102130372
111225642
12868a30
1359789a
143d6536
152c134c
hex2081c4

2130372 has 54 divisors (see below), whose sum is σ = 5800158. Its totient is φ = 657024.

The previous prime is 2130371. The next prime is 2130379. The reversal of 2130372 is 2730312.

It can be written as a sum of positive squares in only one way, i.e., 2005056 + 125316 = 1416^2 + 354^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 215 + 1 + 33 + 0 + 34 + 73 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2130371) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36079 + ... + 36137.

22130372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900079).

2130372 is an abundant number, since it is smaller than the sum of its proper divisors (3669786).

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

2130372 is a wasteful number, since it uses less digits than its factorization.

2130372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2130372 is about 1459.5793914687. The cubic root of 2130372 is about 128.6723250336.

Adding to 2130372 its reverse (2730312), we get a palindrome (4860684).

The spelling of 2130372 in words is "two million, one hundred thirty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 102 118 153 177 204 236 306 354 531 612 708 1003 1062 2006 2124 3009 3481 4012 6018 6962 9027 10443 12036 13924 18054 20886 31329 36108 41772 59177 62658 118354 125316 177531 236708 355062 532593 710124 1065186 2130372