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5305405212 = 2232794434211
BaseRepresentation
bin1001111000011101…
…00000111100011100
3111200202001111202100
410330032200330130
541331140431322
62234241125100
7245321125452
oct47416407434
914622044670
105305405212
112282843508
121040929790
136671cca33
143848809d2
15210b81dac
hex13c3a0f1c

5305405212 has 72 divisors (see below), whose sum is σ = 13614531840. Its totient is φ = 1741727520.

The previous prime is 5305405201. The next prime is 5305405213. The reversal of 5305405212 is 2125045035.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305405213) 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, 1257787 + ... + 1261997.

It is an arithmetic number, because the mean of its divisors is an integer number (189090720).

Almost surely, 25305405212 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 5305405212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807265920).

5305405212 is an abundant number, since it is smaller than the sum of its proper divisors (8309126628).

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

5305405212 is a wasteful number, since it uses less digits than its factorization.

5305405212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5305405212 is about 72838.2125810347. The cubic root of 5305405212 is about 1744.1059080362.

The spelling of 5305405212 in words is "five billion, three hundred five million, four hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 443 474 711 886 948 1329 1422 1772 2658 2844 3987 4211 5316 7974 8422 12633 15948 16844 25266 34997 37899 50532 69994 75798 104991 139988 151596 209982 314973 332669 419964 629946 665338 998007 1259892 1330676 1865473 1996014 2994021 3730946 3992028 5596419 5988042 7461892 11192838 11976084 16789257 22385676 33578514 67157028 147372367 294744734 442117101 589489468 884234202 1326351303 1768468404 2652702606 5305405212