Search a number
-
+
4368100 = 2252112192
BaseRepresentation
bin10000101010011011100100
322012220220111
4100222123210
52104234400
6233342404
752061662
oct20523344
98186814
104368100
112513900
121567a04
13b9c299
14819c32
155b43ba
hex42a6e4

4368100 has 81 divisors (see below), whose sum is σ = 10996041. Its totient is φ = 1504800.

The previous prime is 4368083. The next prime is 4368107. The reversal of 4368100 is 18634.

The square root of 4368100 is 2090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1572516 + 2795584 = 1254^2 + 1672^2 .

It is a super-2 number, since 2×43681002 = 38160595220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4368107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 229891 + ... + 229909.

Almost surely, 24368100 is an apocalyptic number.

4368100 is the 2090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4368100

4368100 is an abundant number, since it is smaller than the sum of its proper divisors (6627941).

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

4368100 is a wasteful number, since it uses less digits than its factorization.

4368100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 4368100 is about 163.4672879532.

Multiplying 4368100 by its product of nonzero digits (576), we get a square (2516025600 = 501602).

The spelling of 4368100 in words is "four million, three hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 121 190 209 220 242 275 361 380 418 475 484 550 605 722 836 950 1045 1100 1210 1444 1805 1900 2090 2299 2420 3025 3610 3971 4180 4598 5225 6050 7220 7942 9025 9196 10450 11495 12100 15884 18050 19855 20900 22990 36100 39710 43681 45980 57475 79420 87362 99275 114950 174724 198550 218405 229900 397100 436810 873620 1092025 2184050 4368100