Search a number
-
+
771315030 = 232529319533
BaseRepresentation
bin101101111110010…
…101010101010110
31222202100212022100
4231332111111112
53034424040110
6204311542530
725054032603
oct5576252526
91882325270
10771315030
11366429442
1219638aa46
13c3a4b635
147461d6aa
1547aacbc0
hex2df95556

771315030 has 96 divisors (see below), whose sum is σ = 2141717760. Its totient is φ = 192165120.

The previous prime is 771315011. The next prime is 771315053. The reversal of 771315030 is 30513177.

771315030 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 771314985 and 771315003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76144 + ... + 85676.

It is an arithmetic number, because the mean of its divisors is an integer number (22309560).

Almost surely, 2771315030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 771315030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070858880).

771315030 is an abundant number, since it is smaller than the sum of its proper divisors (1370402730).

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

771315030 is a wasteful number, since it uses less digits than its factorization.

771315030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9606 (or 9603 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 771315030 is about 27772.5589386358. The cubic root of 771315030 is about 917.0871284698.

The spelling of 771315030 in words is "seven hundred seventy-one million, three hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 31 45 58 62 87 90 93 145 155 174 186 261 279 290 310 435 465 522 558 870 899 930 1305 1395 1798 2610 2697 2790 4495 5394 8091 8990 9533 13485 16182 19066 26970 28599 40455 47665 57198 80910 85797 95330 142995 171594 276457 285990 295523 428985 552914 591046 829371 857970 886569 1382285 1477615 1658742 1773138 2488113 2659707 2764570 2955230 4146855 4432845 4976226 5319414 8293710 8570167 8865690 12440565 13298535 17140334 24881130 25710501 26597070 42850835 51421002 77131503 85701670 128552505 154263006 257105010 385657515 771315030