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20384958 = 2311734231
BaseRepresentation
bin100110111000…
…0110010111110
31102100122220110
41031300302332
520204304313
62004530450
7335161236
oct115606276
942318813
1020384958
1110563580
1269b0a26
1342b9709
1429c8cc6
151bc9ec3
hex1370cbe

20384958 has 32 divisors (see below), whose sum is σ = 45096192. Its totient is φ = 6091200.

The previous prime is 20384957. The next prime is 20384977. The reversal of 20384958 is 85948302.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20384953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2703 + ... + 6933.

It is an arithmetic number, because the mean of its divisors is an integer number (1409256).

Almost surely, 220384958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20384958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22548096).

20384958 is an abundant number, since it is smaller than the sum of its proper divisors (24711234).

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

20384958 is a wasteful number, since it uses less digits than its factorization.

20384958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 20384958 is about 4514.9704317969. The cubic root of 20384958 is about 273.1722671277.

It can be divided in two parts, 2038 and 4958, that added together give a palindrome (6996).

The spelling of 20384958 in words is "twenty million, three hundred eighty-four thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 438 803 1606 2409 4231 4818 8462 12693 25386 46541 93082 139623 279246 308863 617726 926589 1853178 3397493 6794986 10192479 20384958