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30885870 = 23529131271
BaseRepresentation
bin111010111010…
…0011111101110
32011010011110010
41311310133232
530401321440
63021554050
7523345161
oct165643756
964104403
1030885870
1116486014
12a415926
136525282
14415dad8
152aa1580
hex1d747ee

30885870 has 64 divisors (see below), whose sum is σ = 77552640. Its totient is φ = 7862400.

The previous prime is 30885859. The next prime is 30885893. The reversal of 30885870 is 7858803.

30885870 is a nontrivial binomial coefficient, being equal to C(7860, 2).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113835 + ... + 114105.

It is an arithmetic number, because the mean of its divisors is an integer number (1211760).

Almost surely, 230885870 is an apocalyptic number.

30885870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30885870 is the 7859-th triangular number and also the 3930-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30885870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38776320).

30885870 is an abundant number, since it is smaller than the sum of its proper divisors (46666770).

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

30885870 is a wasteful number, since it uses less digits than its factorization.

30885870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441.

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 30885870 is about 5557.5057354896. The cubic root of 30885870 is about 313.7520795828.

The spelling of 30885870 in words is "thirty million, eight hundred eighty-five thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 131 145 174 262 271 290 393 435 542 655 786 813 870 1310 1355 1626 1965 2710 3799 3930 4065 7598 7859 8130 11397 15718 18995 22794 23577 35501 37990 39295 47154 56985 71002 78590 106503 113970 117885 177505 213006 235770 355010 532515 1029529 1065030 2059058 3088587 5147645 6177174 10295290 15442935 30885870