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4680036 = 2232711831
BaseRepresentation
bin10001110110100101100100
322210202210200
4101312211210
52144230121
6244150500
754531264
oct21664544
98722720
104680036
1127071a9
121698430
13c7b26a
1489b7a4
15626a26
hex476964

4680036 has 36 divisors (see below), whose sum is σ = 12003264. Its totient is φ = 1537200.

The previous prime is 4680007. The next prime is 4680041. The reversal of 4680036 is 6300864.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×46800362 = 43805473922592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4679991 and 4680009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1641 + ... + 3471.

It is an arithmetic number, because the mean of its divisors is an integer number (333424).

Almost surely, 24680036 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 4680036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001632).

4680036 is an abundant number, since it is smaller than the sum of its proper divisors (7323228).

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

4680036 is a wasteful number, since it uses less digits than its factorization.

4680036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4680036 is about 2163.3390857653. The cubic root of 4680036 is about 167.2693610410.

The spelling of 4680036 in words is "four million, six hundred eighty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 1831 2556 3662 5493 7324 10986 16479 21972 32958 65916 130001 260002 390003 520004 780006 1170009 1560012 2340018 4680036