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420020544 = 26319910993
BaseRepresentation
bin11001000010010…
…000000101000000
31002021100020212110
4121002100011000
51330011124134
6105402255320
713260054456
oct3102200500
91067306773
10420020544
111a60aa719
12b87b7540
1369031188
143dad69d6
1526d1a7e9
hex19090140

420020544 has 56 divisors (see below), whose sum is σ = 1116990400. Its totient is φ = 139290624.

The previous prime is 420020539. The next prime is 420020551. The reversal of 420020544 is 445020024.

It is a self number, because there is not a number n which added to its sum of digits gives 420020544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32712 + ... + 43704.

Almost surely, 2420020544 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 420020544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558495200).

420020544 is an abundant number, since it is smaller than the sum of its proper divisors (696969856).

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

420020544 is a wasteful number, since it uses less digits than its factorization.

420020544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11207 (or 11197 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 420020544 is about 20494.4027480676. The cubic root of 420020544 is about 748.8994489509.

Adding to 420020544 its reverse (445020024), we get a palindrome (865040568).

The spelling of 420020544 in words is "four hundred twenty million, twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 398 597 796 1194 1592 2388 3184 4776 6368 9552 10993 12736 19104 21986 32979 38208 43972 65958 87944 131916 175888 263832 351776 527664 703552 1055328 2110656 2187607 4375214 6562821 8750428 13125642 17500856 26251284 35001712 52502568 70003424 105005136 140006848 210010272 420020544