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2520252 = 2232773137
BaseRepresentation
bin1001100111010010111100
311202001010200
421213102330
51121122002
6130003500
730264450
oct11472274
94661120
102520252
111471559
12a16590
136a3197
14498660
1534bb1c
hex2674bc

2520252 has 72 divisors (see below), whose sum is σ = 7434336. Its totient is φ = 705024.

The previous prime is 2520251. The next prime is 2520257.

2520252 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18328 + ... + 18464.

22520252 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 2520252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717168).

2520252 is an abundant number, since it is smaller than the sum of its proper divisors (4914084).

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

2520252 is a wasteful number, since it uses less digits than its factorization.

2520252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2520252 is about 1587.5301571939. The cubic root of 2520252 is about 136.0863782293.

It can be divided in two parts, 2520 and 252, that added together give a palindrome (2772).

The spelling of 2520252 in words is "two million, five hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 137 146 219 252 274 292 411 438 511 548 657 822 876 959 1022 1233 1314 1533 1644 1918 2044 2466 2628 2877 3066 3836 4599 4932 5754 6132 8631 9198 10001 11508 17262 18396 20002 30003 34524 40004 60006 70007 90009 120012 140014 180018 210021 280028 360036 420042 630063 840084 1260126 2520252