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4213300 = 2252713463
BaseRepresentation
bin10000000100101000110100
321221001120011
4100010220310
52034311200
6230150004
750545450
oct20045064
97831504
104213300
112418573
1214b2304
13b469a0
147b9660
155835ba
hex404a34

4213300 has 72 divisors (see below), whose sum is σ = 11277056. Its totient is φ = 1330560.

The previous prime is 4213277. The next prime is 4213309. The reversal of 4213300 is 33124.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8869 + ... + 9331.

Almost surely, 24213300 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 4213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638528).

4213300 is an abundant number, since it is smaller than the sum of its proper divisors (7063756).

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

4213300 is a wasteful number, since it uses less digits than its factorization.

4213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 4213300 is about 2052.6324561402. The cubic root of 4213300 is about 161.5129915073.

Adding to 4213300 its reverse (33124), we get a palindrome (4246424).

It can be divided in two parts, 421 and 3300, that added together give a square (3721 = 612).

The spelling of 4213300 in words is "four million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 463 650 700 910 926 1300 1820 1852 2275 2315 3241 4550 4630 6019 6482 9100 9260 11575 12038 12964 16205 23150 24076 30095 32410 42133 46300 60190 64820 81025 84266 120380 150475 162050 168532 210665 300950 324100 421330 601900 842660 1053325 2106650 4213300