Search a number
-
+
2357145 = 325721069
BaseRepresentation
bin1000111111011110011001
311102202101200
420333132121
51100412040
6122304413
726015100
oct10773631
94382350
102357145
11136aa5a
12958109
13646b7b
14455037
15318630
hex23f799

2357145 has 36 divisors (see below), whose sum is σ = 4757220. Its totient is φ = 1076544.

The previous prime is 2357119. The next prime is 2357153. The reversal of 2357145 is 5417532.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 974169 + 1382976 = 987^2 + 1176^2 .

It is not a de Polignac number, because 2357145 - 211 = 2355097 is a prime.

It is a super-2 number, since 2×23571452 = 11112265102050, which contains 22 as substring.

2357145 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1671 + ... + 2739.

It is an arithmetic number, because the mean of its divisors is an integer number (132145).

22357145 is an apocalyptic number.

It is an amenable number.

2357145 is an abundant number, since it is smaller than the sum of its proper divisors (2400075).

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

2357145 is a wasteful number, since it uses less digits than its factorization.

2357145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1084 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 2357145 is about 1535.2996450205. The cubic root of 2357145 is about 133.0848950144.

The spelling of 2357145 in words is "two million, three hundred fifty-seven thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 1069 2205 3207 5345 7483 9621 16035 22449 37415 48105 52381 67347 112245 157143 261905 336735 471429 785715 2357145