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620280640 = 2657674133
BaseRepresentation
bin100100111110001…
…011101101000000
31121020011112002001
4210332023231000
52232242440030
6141314433344
721241204240
oct4476135500
91536145061
10620280640
11299150031
12153892854
139b679985
145c545b20
15396c6cca
hex24f8bb40

620280640 has 112 divisors (see below), whose sum is σ = 1713658752. Its totient is φ = 209442816.

The previous prime is 620280613. The next prime is 620280641. The reversal of 620280640 is 46082026.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 620280599 and 620280608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620280641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148014 + ... + 152146.

Almost surely, 2620280640 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 620280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856829376).

620280640 is an abundant number, since it is smaller than the sum of its proper divisors (1093378112).

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

620280640 is a wasteful number, since it uses less digits than its factorization.

620280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 620280640 is about 24905.4339452257. The cubic root of 620280640 is about 852.8305360505.

The spelling of 620280640 in words is "six hundred twenty million, two hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 67 70 80 112 134 140 160 224 268 280 320 335 448 469 536 560 670 938 1072 1120 1340 1876 2144 2240 2345 2680 3752 4133 4288 4690 5360 7504 8266 9380 10720 15008 16532 18760 20665 21440 28931 30016 33064 37520 41330 57862 66128 75040 82660 115724 132256 144655 150080 165320 231448 264512 276911 289310 330640 462896 553822 578620 661280 925792 1107644 1157240 1322560 1384555 1851584 1938377 2215288 2314480 2769110 3876754 4430576 4628960 5538220 7753508 8861152 9257920 9691885 11076440 15507016 17722304 19383770 22152880 31014032 38767540 44305760 62028064 77535080 88611520 124056128 155070160 310140320 620280640