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20131930 = 2571322123
BaseRepresentation
bin100110011001…
…1000001011010
31101212210211001
41030303001122
520123210210
61555255214
7333055450
oct114630132
941783731
1020131930
1110400465
1268aa50a
13422b4b0
1429609d0
151b7a03a
hex133305a

20131930 has 32 divisors (see below), whose sum is σ = 44601984. Its totient is φ = 6371136.

The previous prime is 20131919. The next prime is 20131931. The reversal of 20131930 is 3913102.

It is a junction number, because it is equal to n+sod(n) for n = 20131898 and 20131907.

It is not an unprimeable number, because it can be changed into a prime (20131931) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10152 + ... + 11971.

It is an arithmetic number, because the mean of its divisors is an integer number (1393812).

Almost surely, 220131930 is an apocalyptic number.

20131930 is an abundant number, since it is smaller than the sum of its proper divisors (24470054).

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

20131930 is a wasteful number, since it uses less digits than its factorization.

20131930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22150.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 20131930 is about 4486.8619323532. The cubic root of 20131930 is about 272.0373092565.

It can be divided in two parts, 201 and 31930, that added together give a triangular number (32131 = T253).

The spelling of 20131930 in words is "twenty million, one hundred thirty-one thousand, nine hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 22123 44246 110615 154861 221230 287599 309722 575198 774305 1437995 1548610 2013193 2875990 4026386 10065965 20131930