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20616948 = 22321124733
BaseRepresentation
bin100111010100…
…1011011110100
31102210110010200
41032221123310
520234220243
62013520500
7340145502
oct116513364
942713120
1020616948
1110701900
126aa3130
13436b1a1
142a49672
151c23ad3
hex13a96f4

20616948 has 54 divisors (see below), whose sum is σ = 57295602. Its totient is φ = 6246240.

The previous prime is 20616931. The next prime is 20616961. The reversal of 20616948 is 84961602.

It can be written as a sum of positive squares in only one way, i.e., 14653584 + 5963364 = 3828^2 + 2442^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1990 + ... + 6722.

Almost surely, 220616948 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 20616948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28647801).

20616948 is an abundant number, since it is smaller than the sum of its proper divisors (36678654).

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

20616948 is a wasteful number, since it uses less digits than its factorization.

20616948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20616948 is about 4540.5889485837. The cubic root of 20616948 is about 274.2046351685.

It can be divided in two parts, 2061 and 6948, that added together give a palindrome (9009).

The spelling of 20616948 in words is "twenty million, six hundred sixteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 4733 9466 14199 18932 28398 42597 52063 56796 85194 104126 156189 170388 208252 312378 468567 572693 624756 937134 1145386 1718079 1874268 2290772 3436158 5154237 6872316 10308474 20616948