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2086652124 = 2233191138999
BaseRepresentation
bin111110001011111…
…1100100011011100
312101102101220121000
41330113330203130
513233140331444
6543020110300
7102465151614
oct17427744334
95342356530
102086652124
11980951697
124a2995390
132733c64cb
1415b1b3a44
15c32cc469
hex7c5fc8dc

2086652124 has 96 divisors (see below), whose sum is σ = 5745600000. Its totient is φ = 653038848.

The previous prime is 2086652123. The next prime is 2086652137. The reversal of 2086652124 is 4212566802.

It is a happy number.

It is a super-2 number, since 2×20866521242 = 8708234173187422752, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086652123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227377 + ... + 236375.

It is an arithmetic number, because the mean of its divisors is an integer number (59850000).

Almost surely, 22086652124 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 2086652124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800000).

2086652124 is an abundant number, since it is smaller than the sum of its proper divisors (3658947876).

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

2086652124 is a wasteful number, since it uses less digits than its factorization.

2086652124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144 (or 9136 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2086652124 is about 45679.8875217529. The cubic root of 2086652124 is about 1277.8602196744.

The spelling of 2086652124 in words is "two billion, eighty-six million, six hundred fifty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 113 114 171 226 228 339 342 452 513 678 684 1017 1026 1356 2034 2052 2147 3051 4068 4294 6102 6441 8588 8999 12204 12882 17998 19323 25764 26997 35996 38646 53994 57969 77292 80991 107988 115938 161982 170981 231876 242973 323964 341962 485946 512943 683924 971892 1016887 1025886 1538829 2033774 2051772 3050661 3077658 4067548 4616487 6101322 6155316 9151983 9232974 12202644 18303966 18465948 19320853 27455949 36607932 38641706 54911898 57962559 77283412 109823796 115925118 173887677 231850236 347775354 521663031 695550708 1043326062 2086652124