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3117061520 = 245172294649
BaseRepresentation
bin1011100111001010…
…1001010110010000
322001020022010112222
42321302221112100
522340431432040
61233145240212
7140146404626
oct27162512620
98036263488
103117061520
11135a555501
1272ba93068
133a8a1cb01
14217d99516
151339b8bb5
hexb9ca9590

3117061520 has 120 divisors (see below), whose sum is σ = 7965729000. Its totient is φ = 1132773376.

The previous prime is 3117061487. The next prime is 3117061561. The reversal of 3117061520 is 251607113.

It can be written as a sum of positive squares in 12 ways, for example, as 82373776 + 3034687744 = 9076^2 + 55088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3117061520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668156 + ... + 672804.

It is an arithmetic number, because the mean of its divisors is an integer number (66381075).

Almost surely, 23117061520 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 3117061520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982864500).

3117061520 is an abundant number, since it is smaller than the sum of its proper divisors (4848667480).

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

3117061520 is a wasteful number, since it uses less digits than its factorization.

3117061520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 3117061520 is about 55830.6503633981. The cubic root of 3117061520 is about 1460.7698323282.

Adding to 3117061520 its reverse (251607113), we get a palindrome (3368668633).

The spelling of 3117061520 in words is "three billion, one hundred seventeen million, sixty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 289 290 340 464 493 578 580 680 986 1156 1160 1360 1445 1972 2312 2320 2465 2890 3944 4624 4649 4930 5780 7888 8381 9298 9860 11560 16762 18596 19720 23120 23245 33524 37192 39440 41905 46490 67048 74384 79033 83810 92980 134096 134821 158066 167620 185960 269642 316132 335240 371920 395165 539284 632264 670480 674105 790330 1078568 1264528 1343561 1348210 1580660 2157136 2291957 2687122 2696420 3161320 4583914 5374244 5392840 6322640 6717805 9167828 10748488 10785680 11459785 13435610 18335656 21496976 22919570 26871220 36671312 38963269 45839140 53742440 77926538 91678280 107484880 155853076 183356560 194816345 311706152 389632690 623412304 779265380 1558530760 3117061520