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6420524020 = 2252985712917
BaseRepresentation
bin1011111101011000…
…10110101111110100
3121120110100102011221
411332230112233310
5101122123232040
62541034040124
7315051360631
oct57654265764
917513312157
106420524020
1127a52447a9
1212b2279044
137b4245151
1444c9d7188
15278a0274a
hex17eb16bf4

6420524020 has 48 divisors (see below), whose sum is σ = 13965391440. Its totient is φ = 2476565504.

The previous prime is 6420524003. The next prime is 6420524021. The reversal of 6420524020 is 204250246.

It can be written as a sum of positive squares in 8 ways, for example, as 307160676 + 6113363344 = 17526^2 + 78188^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6420524021) 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, 490602 + ... + 503518.

It is an arithmetic number, because the mean of its divisors is an integer number (290945655).

Almost surely, 26420524020 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 6420524020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982695720).

6420524020 is an abundant number, since it is smaller than the sum of its proper divisors (7544867420).

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

6420524020 is a wasteful number, since it uses less digits than its factorization.

6420524020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13812 (or 13810 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 6420524020 is about 80128.1724488959. The cubic root of 6420524020 is about 1858.6180836468.

Adding to 6420524020 its reverse (204250246), we get a palindrome (6624774266).

The spelling of 6420524020 in words is "six billion, four hundred twenty million, five hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 857 1714 3428 4285 8570 12917 17140 24853 25834 49706 51668 64585 99412 124265 129170 248530 258340 374593 497060 749186 1498372 1872965 3745930 7491860 11069869 22139738 44279476 55349345 110698690 221397380 321026201 642052402 1284104804 1605131005 3210262010 6420524020