Search a number
-
+
532103220 = 2232511318669
BaseRepresentation
bin11111101101110…
…100000000110100
31101002020122101200
4133231310000310
52042204300340
6124444452500
716120542225
oct3755640064
91332218350
10532103220
112533a4030
1212a24a130
138631549c
145095124c
1531aaa330
hex1fb74034

532103220 has 144 divisors (see below), whose sum is σ = 1817786880. Its totient is φ = 124819200.

The previous prime is 532103191. The next prime is 532103233. The reversal of 532103220 is 22301235.

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 = 532103193 and 532103202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57046 + ... + 65714.

It is an arithmetic number, because the mean of its divisors is an integer number (12623520).

Almost surely, 2532103220 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 532103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908893440).

532103220 is an abundant number, since it is smaller than the sum of its proper divisors (1285683660).

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

532103220 is a wasteful number, since it uses less digits than its factorization.

532103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8726 (or 8721 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 532103220 is about 23067.3626580934. The cubic root of 532103220 is about 810.3363029669.

Adding to 532103220 its reverse (22301235), we get a palindrome (554404455).

The spelling of 532103220 in words is "five hundred thirty-two million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 8669 10230 12276 15345 17338 20460 26007 30690 34676 43345 52014 61380 78021 86690 95359 104028 130035 156042 173380 190718 260070 268739 286077 312084 381436 390105 476795 520140 537478 572154 780210 806217 858231 953590 1074956 1144308 1343695 1430385 1560420 1612434 1716462 1907180 2418651 2687390 2860770 2956129 3224868 3432924 4031085 4291155 4837302 5374780 5721540 5912258 8062170 8582310 8868387 9674604 11824516 12093255 14780645 16124340 17164620 17736774 24186510 26605161 29561290 35473548 44341935 48373020 53210322 59122580 88683870 106420644 133025805 177367740 266051610 532103220