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2129680 = 24573803
BaseRepresentation
bin1000000111111100010000
311000012101001
420013330100
51021122210
6113351344
724046660
oct10077420
94005331
102129680
111225073
12868554
13597487
143d61a0
152c103a
hex207f10

2129680 has 40 divisors (see below), whose sum is σ = 5660352. Its totient is φ = 729984.

The previous prime is 2129671. The next prime is 2129689. The reversal of 2129680 is 869212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2129671) and next prime (2129689).

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2129689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1342 + ... + 2461.

22129680 is an apocalyptic number.

2129680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2129680 is an abundant number, since it is smaller than the sum of its proper divisors (3530672).

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

2129680 is a wasteful number, since it uses less digits than its factorization.

2129680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2129680 is about 1459.3423176212. The cubic root of 2129680 is about 128.6583914903.

It can be divided in two parts, 2129 and 680, that added together give a square (2809 = 532).

The spelling of 2129680 in words is "two million, one hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3803 7606 15212 19015 26621 30424 38030 53242 60848 76060 106484 133105 152120 212968 266210 304240 425936 532420 1064840 2129680