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530742096 = 24329737997
BaseRepresentation
bin11111101000100…
…111101101010000
31100222200111021200
4133220213231100
52041332221341
6124355351200
716103143023
oct3750475520
91328614250
10530742096
11252654435
121298b2500
1385c59aa1
14506b91ba
15318dbdb6
hex1fa27b50

530742096 has 60 divisors (see below), whose sum is σ = 1500693012. Its totient is φ = 175085568.

The previous prime is 530742083. The next prime is 530742101. The reversal of 530742096 is 690247035.

It can be written as a sum of positive squares in 2 ways, for example, as 401601600 + 129140496 = 20040^2 + 11364^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 530742096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5031 + ... + 32966.

Almost surely, 2530742096 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 530742096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750346506).

530742096 is an abundant number, since it is smaller than the sum of its proper divisors (969950916).

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

530742096 is a wasteful number, since it uses less digits than its factorization.

530742096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38108 (or 38099 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 530742096 is about 23037.8405237991. The cubic root of 530742096 is about 809.6447642113.

The spelling of 530742096 in words is "five hundred thirty million, seven hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 37997 75994 113991 151988 227982 303976 341973 455964 607952 683946 911928 1367892 1823856 2735784 3685709 5471568 7371418 11057127 14742836 22114254 29485672 33171381 44228508 58971344 66342762 88457016 132685524 176914032 265371048 530742096