Search a number
-
+
5307690312 = 23322329310939
BaseRepresentation
bin1001111000101110…
…01110110101001000
3111200220100121022200
410330113032311020
541332232042222
62234402120200
7245346423531
oct47427166510
914626317280
105307690312
112284064321
121041650060
1366781cb72
14384cb7688
15210e83eac
hex13c5ced48

5307690312 has 96 divisors (see below), whose sum is σ = 15052564800. Its totient is φ = 1686377088.

The previous prime is 5307690281. The next prime is 5307690313. The reversal of 5307690312 is 2130967035.

5307690312 is a `hidden beast` number, since 530 + 7 + 6 + 90 + 31 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5307690313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479739 + ... + 490677.

It is an arithmetic number, because the mean of its divisors is an integer number (156797550).

Almost surely, 25307690312 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 5307690312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526282400).

5307690312 is an abundant number, since it is smaller than the sum of its proper divisors (9744874488).

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

5307690312 is a wasteful number, since it uses less digits than its factorization.

5307690312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11267 (or 11260 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5307690312 is about 72853.8970268578. The cubic root of 5307690312 is about 1744.3562743572.

The spelling of 5307690312 in words is "five billion, three hundred seven million, six hundred ninety thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 293 414 552 586 828 879 1172 1656 1758 2344 2637 3516 5274 6739 7032 10548 10939 13478 20217 21096 21878 26956 32817 40434 43756 53912 60651 65634 80868 87512 98451 121302 131268 161736 196902 242604 251597 262536 393804 485208 503194 754791 787608 1006388 1509582 2012776 2264373 3019164 3205127 4528746 6038328 6410254 9057492 9615381 12820508 18114984 19230762 25641016 28846143 38461524 57692286 73717921 76923048 115384572 147435842 221153763 230769144 294871684 442307526 589743368 663461289 884615052 1326922578 1769230104 2653845156 5307690312