Search a number
-
+
2532102320 = 2451131101919
BaseRepresentation
bin1001011011101100…
…1101000010110000
320112110121010101102
42112323031002300
520141204233240
61055131423532
7116514341336
oct22673150260
96473533342
102532102320
11108a33aa50
125a7bb4ba8
1331478c2c7
141a0409b56
15ec46c815
hex96ecd0b0

2532102320 has 160 divisors (see below), whose sum is σ = 6702428160. Its totient is φ = 881280000.

The previous prime is 2532102283. The next prime is 2532102347. The reversal of 2532102320 is 232012352.

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 = 2532102292 and 2532102301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2754821 + ... + 2755739.

It is an arithmetic number, because the mean of its divisors is an integer number (41890176).

Almost surely, 22532102320 is an apocalyptic number.

2532102320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2532102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351214080).

2532102320 is an abundant number, since it is smaller than the sum of its proper divisors (4170325840).

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

2532102320 is a wasteful number, since it uses less digits than its factorization.

2532102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2532102320 is about 50319.9992050874. Note that the first 3 decimals coincide. The cubic root of 2532102320 is about 1362.9933922214.

Adding to 2532102320 its reverse (232012352), we get a palindrome (2764114672).

The spelling of 2532102320 in words is "two billion, five hundred thirty-two million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 101 110 124 155 176 202 220 248 310 341 404 440 496 505 620 682 808 880 919 1010 1111 1240 1364 1616 1705 1838 2020 2222 2480 2728 3131 3410 3676 4040 4444 4595 5456 5555 6262 6820 7352 8080 8888 9190 10109 11110 12524 13640 14704 15655 17776 18380 20218 22220 25048 27280 28489 31310 34441 36760 40436 44440 50096 50545 56978 62620 68882 73520 80872 88880 92819 101090 113956 125240 137764 142445 161744 172205 185638 202180 227912 250480 275528 284890 313379 344410 371276 404360 455824 464095 551056 569780 626758 688820 742552 808720 928190 1021009 1139560 1253516 1377640 1485104 1566895 1856380 2042018 2279120 2507032 2755280 2877389 3133790 3712760 4084036 5014064 5105045 5754778 6267580 7425520 8168072 10210090 11509556 12535160 14386945 16336144 20420180 23019112 25070320 28773890 31651279 40840360 46038224 57547780 63302558 81680720 115095560 126605116 158256395 230191120 253210232 316512790 506420464 633025580 1266051160 2532102320