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6300252 = 22327231087
BaseRepresentation
bin11000000010001001011100
3102212002022200
4120002021130
53103102002
6343011500
7104360040
oct30021134
912762280
106300252
113613522
122139b90
1313c787a
14ba0020
15846b1c
hex60225c

6300252 has 72 divisors (see below), whose sum is σ = 19009536. Its totient is φ = 1720224.

The previous prime is 6300241. The next prime is 6300277. The reversal of 6300252 is 2520036.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5253 + ... + 6339.

Almost surely, 26300252 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 6300252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9504768).

6300252 is an abundant number, since it is smaller than the sum of its proper divisors (12709284).

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

6300252 is a wasteful number, since it uses less digits than its factorization.

6300252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 6300252 is about 2510.0302787018. The cubic root of 6300252 is about 184.6939375650.

Adding to 6300252 its reverse (2520036), we get a palindrome (8820288).

It can be divided in two parts, 6300 and 252, that multiplied together give a square (1587600 = 12602).

The spelling of 6300252 in words is "six million, three hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1087 1449 1932 2174 2898 3261 4348 5796 6522 7609 9783 13044 15218 19566 22827 25001 30436 39132 45654 50002 68481 75003 91308 100004 136962 150006 175007 225009 273924 300012 350014 450018 525021 700028 900036 1050042 1575063 2100084 3150126 6300252