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20354624 = 26192881
BaseRepresentation
bin100110110100…
…1011001000000
31102022010021222
41031221121000
520202321444
62004134212
7335003633
oct115513100
942263258
1020354624
1110542804
126997368
1342a8974
1429bbc1a
151bc0eee
hex1369640

20354624 has 42 divisors (see below), whose sum is σ = 42677334. Its totient is φ = 9630720.

The previous prime is 20354617. The next prime is 20354629. The reversal of 20354624 is 42645302.

It can be written as a sum of positive squares in only one way, i.e., 14440000 + 5914624 = 3800^2 + 2432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20354593 and 20354602.

It is not an unprimeable number, because it can be changed into a prime (20354629) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22664 + ... + 23544.

It is an arithmetic number, because the mean of its divisors is an integer number (1016127).

Almost surely, 220354624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20354624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21338667).

20354624 is an abundant number, since it is smaller than the sum of its proper divisors (22322710).

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

20354624 is an equidigital number, since it uses as much as digits as its factorization.

20354624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 20354624 is about 4511.6099122154. The cubic root of 20354624 is about 273.0367011355.

Adding to 20354624 its reverse (42645302), we get a palindrome (62999926).

The spelling of 20354624 in words is "twenty million, three hundred fifty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 881 1216 1444 1762 2888 3524 5776 7048 11552 14096 16739 23104 28192 33478 56384 66956 133912 267824 318041 535648 636082 1071296 1272164 2544328 5088656 10177312 20354624