Search a number
-
+
621800064 = 273519991
BaseRepresentation
bin100101000011111…
…110101010000000
31121100000201100000
4211003332222000
52233140100224
6141411200000
721260133114
oct4503765200
91540021300
10621800064
11299a98656
121542a6000
139ba8c442
145c81d744
15398c70c9
hex250fea80

621800064 has 96 divisors (see below), whose sum is σ = 1855657440. Its totient is φ = 207256320.

The previous prime is 621800063. The next prime is 621800071. The reversal of 621800064 is 460008126.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (621800063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21109 + ... + 41099.

It is an arithmetic number, because the mean of its divisors is an integer number (19329765).

Almost surely, 2621800064 is an apocalyptic number.

621800064 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 621800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927828720).

621800064 is an abundant number, since it is smaller than the sum of its proper divisors (1233857376).

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

621800064 is an equidigital number, since it uses as much as digits as its factorization.

621800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20020 (or 19996 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 621800064 is about 24935.9191529007. The cubic root of 621800064 is about 853.5263257066.

The spelling of 621800064 in words is "six hundred twenty-one million, eight hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 19991 31104 39982 59973 79964 119946 159928 179919 239892 319856 359838 479784 539757 639712 719676 959568 1079514 1279424 1439352 1619271 1919136 2159028 2558848 2878704 3238542 3838272 4318056 4857813 5757408 6477084 7676544 8636112 9715626 11514816 12954168 17272224 19431252 23029632 25908336 34544448 38862504 51816672 69088896 77725008 103633344 155450016 207266688 310900032 621800064