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3130616272 = 247267107557
BaseRepresentation
bin1011101010011001…
…0110100111010000
322002011210210011211
42322212112213100
522402414210042
61234351545504
7140402541100
oct27246264720
98064723154
103130616272
111367173383
1273452b294
133ab787684
14219ac7200
15134c95017
hexba9969d0

3130616272 has 120 divisors (see below), whose sum is σ = 7241081184. Its totient is φ = 1306964736.

The previous prime is 3130616261. The next prime is 3130616311. The reversal of 3130616272 is 2726160313.

3130616272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31306162722 = 19601516485022355968, which contains 22 as substring.

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, 5620218 + ... + 5620774.

Almost surely, 23130616272 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 3130616272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620540592).

3130616272 is an abundant number, since it is smaller than the sum of its proper divisors (4110464912).

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

3130616272 is a wasteful number, since it uses less digits than its factorization.

3130616272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 3130616272 is about 55951.9103516582. The cubic root of 3130616272 is about 1462.8841891493.

Adding to 3130616272 its reverse (2726160313), we get a palindrome (5856776585).

The spelling of 3130616272 in words is "three billion, one hundred thirty million, six hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 67 98 107 112 134 196 214 268 392 428 469 536 557 749 784 856 938 1072 1114 1498 1712 1876 2228 2996 3283 3752 3899 4456 5243 5992 6566 7169 7504 7798 8912 10486 11984 13132 14338 15596 20972 26264 27293 28676 31192 37319 41944 50183 52528 54586 57352 59599 62384 74638 83888 100366 109172 114704 119198 149276 200732 218344 238396 261233 298552 351281 401464 417193 436688 476792 522466 597104 702562 802928 834386 953584 1044932 1405124 1668772 1828631 2089864 2810248 2920351 3337544 3657262 3993133 4179728 5620496 5840702 6675088 7314524 7986266 11681404 14629048 15972532 23362808 27951931 29258096 31945064 46725616 55903862 63890128 111807724 195663517 223615448 391327034 447230896 782654068 1565308136 3130616272