Search a number
-
+
552132020 = 2251119235743
BaseRepresentation
bin100000111010001…
…101110110110100
31102110221012202002
4200322031312310
52112321211040
6130442034432
716453021226
oct4072156664
91373835662
10552132020
11263733a60
12134aa8a18
138a508a4b
1453486416
1533714a15
hex20e8ddb4

552132020 has 96 divisors (see below), whose sum is σ = 1389588480. Its totient is φ = 181906560.

The previous prime is 552132011. The next prime is 552132029. The reversal of 552132020 is 20231255.

552132020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (552132011) and next prime (552132029).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 552131983 and 552132001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552132029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93269 + ... + 99011.

It is an arithmetic number, because the mean of its divisors is an integer number (14474880).

Almost surely, 2552132020 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 552132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694794240).

552132020 is an abundant number, since it is smaller than the sum of its proper divisors (837456460).

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

552132020 is a wasteful number, since it uses less digits than its factorization.

552132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 552132020 is about 23497.4896531523. The cubic root of 552132020 is about 820.3785779177.

Adding to 552132020 its reverse (20231255), we get a palindrome (572363275).

The spelling of 552132020 in words is "five hundred fifty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 190 209 220 230 253 380 418 437 460 506 836 874 1012 1045 1265 1748 2090 2185 2530 4180 4370 4807 5060 5743 8740 9614 11486 19228 22972 24035 28715 48070 57430 63173 96140 109117 114860 126346 132089 218234 252692 264178 315865 436468 528356 545585 631730 660445 1091170 1200287 1263460 1320890 1452979 2182340 2400574 2509691 2641780 2905958 4801148 5019382 5811916 6001435 7264895 10038764 12002870 12548455 14529790 24005740 25096910 27606601 29059580 50193820 55213202 110426404 138033005 276066010 552132020