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2129620 = 225233457
BaseRepresentation
bin1000000111111011010100
311000012021211
420013323110
51021121440
6113351204
724046543
oct10077324
94005254
102129620
111225019
12868504
1359743c
143d615a
152c0eea
hex207ed4

2129620 has 24 divisors (see below), whose sum is σ = 4501224. Its totient is φ = 846336.

The previous prime is 2129599. The next prime is 2129627. The reversal of 2129620 is 269212.

It is a happy number.

2129620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 274576 + 1855044 = 524^2 + 1362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2129591 and 2129600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129627) 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 7 ways as a sum of consecutive naturals, for example, 4432 + ... + 4888.

It is an arithmetic number, because the mean of its divisors is an integer number (187551).

22129620 is an apocalyptic number.

2129620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2129620 is an abundant number, since it is smaller than the sum of its proper divisors (2371604).

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

2129620 is a wasteful number, since it uses less digits than its factorization.

2129620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2129620 is about 1459.3217602708. The cubic root of 2129620 is about 128.6571832374.

It can be divided in two parts, 21296 and 20, that added together give a square (21316 = 1462).

The spelling of 2129620 in words is "two million, one hundred twenty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 233 457 466 914 932 1165 1828 2285 2330 4570 4660 9140 106481 212962 425924 532405 1064810 2129620