Search a number
-
+
620114208 = 25372241547
BaseRepresentation
bin100100111101100…
…011000100100000
31121012212001202220
4210331203010200
52232222123313
6141311111040
721236612100
oct4475430440
91535761686
10620114208
11299046a8a
12153812480
139b61bcac
145c501200
1539692823
hex24f63120

620114208 has 144 divisors (see below), whose sum is σ = 1904896224. Its totient is φ = 176117760.

The previous prime is 620114207. The next prime is 620114233. The reversal of 620114208 is 802411026.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (620114207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1133391 + ... + 1133937.

It is an arithmetic number, because the mean of its divisors is an integer number (13228446).

Almost surely, 2620114208 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 620114208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952448112).

620114208 is an abundant number, since it is smaller than the sum of its proper divisors (1284782016).

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

620114208 is a wasteful number, since it uses less digits than its factorization.

620114208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 620114208 is about 24902.0924422025. The cubic root of 620114208 is about 852.7542528439.

The spelling of 620114208 in words is "six hundred twenty million, one hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 241 294 336 392 482 547 588 672 723 784 964 1094 1176 1446 1568 1641 1687 1928 2188 2352 2892 3282 3374 3829 3856 4376 4704 5061 5784 6564 6748 7658 7712 8752 10122 11487 11568 11809 13128 13496 15316 17504 20244 22974 23136 23618 26256 26803 26992 30632 35427 40488 45948 47236 52512 53606 53984 61264 70854 80409 80976 91896 94472 107212 122528 131827 141708 160818 161952 183792 188944 214424 263654 283416 321636 367584 377888 395481 428848 527308 566832 643272 790962 857696 922789 1054616 1133664 1286544 1581924 1845578 2109232 2573088 2768367 3163848 3691156 4218464 5536734 6327696 6459523 7382312 11073468 12655392 12919046 14764624 19378569 22146936 25838092 29529248 38757138 44293872 51676184 77514276 88587744 103352368 155028552 206704736 310057104 620114208