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2421000 = 233253269
BaseRepresentation
bin1001001111000100001000
311112222222200
421033010020
51104433000
6123520200
726402211
oct11170410
94488880
102421000
111403a2a
12989060
13669c5a
14470408
1532c500
hex24f108

2421000 has 96 divisors (see below), whose sum is σ = 8213400. Its totient is φ = 643200.

The previous prime is 2420993. The next prime is 2421031. The reversal of 2421000 is 1242.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 2196324 = 474^2 + 1482^2 .

It is a super-2 number, since 2×24210002 = 11722482000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 3.

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, 8866 + ... + 9134.

22421000 is an apocalyptic number.

2421000 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 2421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106700).

2421000 is an abundant number, since it is smaller than the sum of its proper divisors (5792400).

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

2421000 is a wasteful number, since it uses less digits than its factorization.

2421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2421000 is about 1555.9562975868. The cubic root of 2421000 is about 134.2759591094.

Adding to 2421000 its reverse (1242), we get a palindrome (2422242).

The spelling of 2421000 in words is "two million, four hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 269 300 360 375 450 500 538 600 750 807 900 1000 1076 1125 1345 1500 1614 1800 2152 2250 2421 2690 3000 3228 4035 4500 4842 5380 6456 6725 8070 9000 9684 10760 12105 13450 16140 19368 20175 24210 26900 32280 33625 40350 48420 53800 60525 67250 80700 96840 100875 121050 134500 161400 201750 242100 269000 302625 403500 484200 605250 807000 1210500 2421000