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20354628 = 22371671451
BaseRepresentation
bin100110110100…
…1011001000100
31102022010022010
41031221121010
520202322003
62004134220
7335003640
oct115513104
942263263
1020354628
1110542808
126997370
1342a8978
1429bbc20
151bc1003
hex1369644

20354628 has 48 divisors (see below), whose sum is σ = 54641664. Its totient is φ = 5776800.

The previous prime is 20354617. The next prime is 20354629. The reversal of 20354628 is 82645302.

It is a junction number, because it is equal to n+sod(n) for n = 20354595 and 20354604.

It is not an unprimeable number, because it can be changed into a prime (20354629) 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, 13303 + ... + 14753.

It is an arithmetic number, because the mean of its divisors is an integer number (1138368).

Almost surely, 220354628 is an apocalyptic number.

20354628 is a gapful number since it is divisible by the number (28) 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 20354628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27320832).

20354628 is an abundant number, since it is smaller than the sum of its proper divisors (34287036).

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

20354628 is a wasteful number, since it uses less digits than its factorization.

20354628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 20354628 is about 4511.6103555161. The cubic root of 20354628 is about 273.0367190208.

The spelling of 20354628 in words is "twenty million, three hundred fifty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 334 501 668 1002 1169 1451 2004 2338 2902 3507 4353 4676 5804 7014 8706 10157 14028 17412 20314 30471 40628 60942 121884 242317 484634 726951 969268 1453902 1696219 2907804 3392438 5088657 6784876 10177314 20354628