Search a number
-
+
662563980 = 22325131032749
BaseRepresentation
bin100111011111011…
…110110010001100
31201011201201220200
4213133132302030
52324104021410
6145425013500
722263462261
oct4737366214
91634651820
10662563980
11310000141
12165a84290
13a73628c0
1463dd1268
153d27a3c0
hex277dec8c

662563980 has 144 divisors (see below), whose sum is σ = 2186184000. Its totient is φ = 161450496.

The previous prime is 662563973. The next prime is 662563981. The reversal of 662563980 is 89365266.

It is a happy number.

662563980 is a `hidden beast` number, since 6 + 6 + 2 + 5 + 639 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (662563981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239646 + ... + 242394.

Almost surely, 2662563980 is an apocalyptic number.

662563980 is a gapful number since it is divisible by the number (60) 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 662563980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093092000).

662563980 is an abundant number, since it is smaller than the sum of its proper divisors (1523620020).

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

662563980 is a wasteful number, since it uses less digits than its factorization.

662563980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 662563980 is about 25740.3181798516. The cubic root of 662563980 is about 871.7847626191.

The spelling of 662563980 in words is "six hundred sixty-two million, five hundred sixty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 103 117 130 156 180 195 206 234 260 309 390 412 468 515 585 618 780 927 1030 1170 1236 1339 1545 1854 2060 2340 2678 2749 3090 3708 4017 4635 5356 5498 6180 6695 8034 8247 9270 10996 12051 13390 13745 16068 16494 18540 20085 24102 24741 26780 27490 32988 35737 40170 41235 48204 49482 54980 60255 71474 80340 82470 98964 107211 120510 123705 142948 164940 178685 214422 241020 247410 283147 321633 357370 428844 494820 536055 566294 643266 714740 849441 1072110 1132588 1286532 1415735 1608165 1698882 2144220 2548323 2831470 3216330 3397764 3680911 4247205 5096646 5662940 6432660 7361822 8494410 10193292 11042733 12741615 14723644 16988820 18404555 22085466 25483230 33128199 36809110 44170932 50966460 55213665 66256398 73618220 110427330 132512796 165640995 220854660 331281990 662563980