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5700420 = 22325112879
BaseRepresentation
bin10101101111101101000100
3101201121111200
4111233231010
52424403140
6322102500
766311205
oct25575504
911647450
105700420
1132438a0
121aaaa30
13124783b
14a855ac
15779030
hex56fb44

5700420 has 72 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 1381440.

The previous prime is 5700419. The next prime is 5700421. The reversal of 5700420 is 240075.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5700419) and next prime (5700421).

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

It is a junction number, because it is equal to n+sod(n) for n = 5700393 and 5700402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5700421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541 + ... + 3419.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 25700420 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 5700420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

5700420 is an abundant number, since it is smaller than the sum of its proper divisors (13169340).

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

5700420 is a wasteful number, since it uses less digits than its factorization.

5700420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5700420 is about 2387.5552349632. Note that the first 3 decimals coincide. The cubic root of 5700420 is about 178.6359861058.

Adding to 5700420 its reverse (240075), we get a palindrome (5940495).

The spelling of 5700420 in words is "five million, seven hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2879 5758 8637 11516 14395 17274 25911 28790 31669 34548 43185 51822 57580 63338 86370 95007 103644 126676 129555 158345 172740 190014 259110 285021 316690 380028 475035 518220 570042 633380 950070 1140084 1425105 1900140 2850210 5700420