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20211620 = 225111337191
BaseRepresentation
bin100110100011…
…0011110100100
31102000212010112
41031012132210
520133232440
62001112152
7333540002
oct115063644
942025115
1020211620
1110455320
126928658
134258850
142981a72
151b93965
hex13467a4

20211620 has 96 divisors (see below), whose sum is σ = 51480576. Its totient is φ = 6566400.

The previous prime is 20211619. The next prime is 20211643. The reversal of 20211620 is 2611202.

It is a junction number, because it is equal to n+sod(n) for n = 20211595 and 20211604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105725 + ... + 105915.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 220211620 is an apocalyptic number.

20211620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740288).

20211620 is an abundant number, since it is smaller than the sum of its proper divisors (31268956).

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

20211620 is a wasteful number, since it uses less digits than its factorization.

20211620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 20211620 is about 4495.7335330288. The cubic root of 20211620 is about 272.3957798011.

Adding to 20211620 its reverse (2611202), we get a palindrome (22822822).

The spelling of 20211620 in words is "twenty million, two hundred eleven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 37 44 52 55 65 74 110 130 143 148 185 191 220 260 286 370 382 407 481 572 715 740 764 814 955 962 1430 1628 1910 1924 2035 2101 2405 2483 2860 3820 4070 4202 4810 4966 5291 7067 8140 8404 9620 9932 10505 10582 12415 14134 21010 21164 24830 26455 27313 28268 35335 42020 49660 52910 54626 70670 77737 91871 105820 109252 136565 141340 155474 183742 273130 310948 367484 388685 459355 546260 777370 918710 1010581 1554740 1837420 2021162 4042324 5052905 10105810 20211620