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2130968 = 23738053
BaseRepresentation
bin1000001000010000011000
311000021010202
420020100120
51021142333
6113401332
724053510
oct10102030
94007122
102130968
111226034
12869248
13597c38
143d6840
152c15e8
hex208418

2130968 has 16 divisors (see below), whose sum is σ = 4566480. Its totient is φ = 913248.

The previous prime is 2130959. The next prime is 2130979. The reversal of 2130968 is 8690312.

It is a self number, because there is not a number n which added to its sum of digits gives 2130968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18971 + ... + 19082.

It is an arithmetic number, because the mean of its divisors is an integer number (285405).

22130968 is an apocalyptic number.

2130968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2130968 is an abundant number, since it is smaller than the sum of its proper divisors (2435512).

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

2130968 is a wasteful number, since it uses less digits than its factorization.

2130968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38066 (or 38062 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 2130968 is about 1459.7835455985. The cubic root of 2130968 is about 128.6843231815.

The spelling of 2130968 in words is "two million, one hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 38053 76106 152212 266371 304424 532742 1065484 2130968