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620552064 = 273111071373
BaseRepresentation
bin100100111111001…
…101111110000000
31121020200022101210
4210333031332000
52232330131224
6141324330120
721243414456
oct4477157600
91536608353
10620552064
11299315a50
121539a3940
139b743392
145c5b69d6
153972c429
hex24fcdf80

620552064 has 128 divisors (see below), whose sum is σ = 1816318080. Its totient is φ = 186152960.

The previous prime is 620552041. The next prime is 620552081. The reversal of 620552064 is 460255026.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451282 + ... + 452654.

It is an arithmetic number, because the mean of its divisors is an integer number (14189985).

Almost surely, 2620552064 is an apocalyptic number.

620552064 is a gapful number since it is divisible by the number (64) 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 620552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908159040).

620552064 is an abundant number, since it is smaller than the sum of its proper divisors (1195766016).

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

620552064 is a wasteful number, since it uses less digits than its factorization.

620552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 620552064 is about 24910.8824412143. The cubic root of 620552064 is about 852.9549125047.

The spelling of 620552064 in words is "six hundred twenty million, five hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 128 132 176 192 214 264 321 352 384 428 528 642 704 856 1056 1177 1284 1373 1408 1712 2112 2354 2568 2746 3424 3531 4119 4224 4708 5136 5492 6848 7062 8238 9416 10272 10984 13696 14124 15103 16476 18832 20544 21968 28248 30206 32952 37664 41088 43936 45309 56496 60412 65904 75328 87872 90618 112992 120824 131808 146911 150656 175744 181236 225984 241648 263616 293822 362472 440733 451968 483296 527232 587644 724944 881466 966592 1175288 1449888 1616021 1762932 1933184 2350576 2899776 3232042 3525864 4701152 4848063 5799552 6464084 7051728 9402304 9696126 12928168 14103456 18804608 19392252 25856336 28206912 38784504 51712672 56413824 77569008 103425344 155138016 206850688 310276032 620552064