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530542100 = 225211736607
BaseRepresentation
bin11111100111110…
…110111000010100
31100222022022221102
4133213312320110
52041304321400
6124351205232
716101350654
oct3747667024
91328268842
10530542100
11252528150
12129816818
1385bb9a4a
1450666364
153189c9d5
hex1f9f6e14

530542100 has 72 divisors (see below), whose sum is σ = 1273335168. Its totient is φ = 190252800.

The previous prime is 530542099. The next prime is 530542109. The reversal of 530542100 is 1245035.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530542109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76997 + ... + 83603.

Almost surely, 2530542100 is an apocalyptic number.

530542100 is a gapful number since it is divisible by the number (50) 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 530542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636667584).

530542100 is an abundant number, since it is smaller than the sum of its proper divisors (742793068).

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

530542100 is a wasteful number, since it uses less digits than its factorization.

530542100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6705 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 530542100 is about 23033.4995170078. The cubic root of 530542100 is about 809.5430537579.

Adding to 530542100 its reverse (1245035), we get a palindrome (531787135).

The spelling of 530542100 in words is "five hundred thirty million, five hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 146 220 275 292 365 550 730 803 1100 1460 1606 1825 3212 3650 4015 6607 7300 8030 13214 16060 20075 26428 33035 40150 66070 72677 80300 132140 145354 165175 290708 330350 363385 482311 660700 726770 964622 1453540 1816925 1929244 2411555 3633850 4823110 5305421 7267700 9646220 10610842 12057775 21221684 24115550 26527105 48231100 53054210 106108420 132635525 265271050 530542100