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4130088060 = 2235719350951
BaseRepresentation
bin1111011000101100…
…0010010001111100
3101122211111012201110
43312023002101330
531424300304220
61521454042020
7204230112030
oct36613022174
911584435643
104130088060
11182a36631a
129731a9310
1350a86b2b7
142b27381c0
151928bebe0
hexf62c247c

4130088060 has 96 divisors (see below), whose sum is σ = 13285020672. Its totient is φ = 939110400.

The previous prime is 4130088049. The next prime is 4130088097. The reversal of 4130088060 is 608800314.

It is a happy number.

4130088060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55585 + ... + 106535.

It is an arithmetic number, because the mean of its divisors is an integer number (138385632).

Almost surely, 24130088060 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 4130088060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642510336).

4130088060 is an abundant number, since it is smaller than the sum of its proper divisors (9154932612).

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

4130088060 is a wasteful number, since it uses less digits than its factorization.

4130088060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51163 (or 51161 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4130088060 is about 64265.7611796515. The cubic root of 4130088060 is about 1604.4262931431.

Adding to 4130088060 its reverse (608800314), we get a palindrome (4738888374).

The spelling of 4130088060 in words is "four billion, one hundred thirty million, eighty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 193 210 386 420 579 772 965 1158 1351 1930 2316 2702 2895 3860 4053 5404 5790 6755 8106 11580 13510 16212 20265 27020 40530 50951 81060 101902 152853 203804 254755 305706 356657 509510 611412 713314 764265 1019020 1069971 1426628 1528530 1783285 2139942 3057060 3566570 4279884 5349855 7133140 9833543 10699710 19667086 21399420 29500629 39334172 49167715 59001258 68834801 98335430 118002516 137669602 147503145 196670860 206504403 275339204 295006290 344174005 413008806 590012580 688348010 826017612 1032522015 1376696020 2065044030 4130088060