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20723052 = 22372947181
BaseRepresentation
bin100111100001…
…1010101101100
31102222211200110
41033003111230
520301114202
62020100020
7341100030
oct117032554
942884613
1020723052
1110774599
126b34610
1343a757c
142a761c0
151c4526c
hex13c356c

20723052 has 96 divisors (see below), whose sum is σ = 58705920. Its totient is φ = 5564160.

The previous prime is 20723047. The next prime is 20723063. The reversal of 20723052 is 25032702.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114402 + ... + 114582.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 220723052 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 20723052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352960).

20723052 is an abundant number, since it is smaller than the sum of its proper divisors (37982868).

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

20723052 is a wasteful number, since it uses less digits than its factorization.

20723052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 20723052 is about 4552.2579013057. The cubic root of 20723052 is about 274.6742235905.

Adding to 20723052 its reverse (25032702), we get a palindrome (45755754).

The spelling of 20723052 in words is "twenty million, seven hundred twenty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 47 58 84 87 94 116 141 174 181 188 203 282 329 348 362 406 543 564 609 658 724 812 987 1086 1218 1267 1316 1363 1974 2172 2436 2534 2726 3801 3948 4089 5068 5249 5452 7602 8178 8507 9541 10498 15204 15747 16356 17014 19082 20996 25521 28623 31494 34028 36743 38164 51042 57246 59549 62988 73486 102084 110229 114492 119098 146972 178647 220458 238196 246703 357294 440916 493406 714588 740109 986812 1480218 1726921 2960436 3453842 5180763 6907684 10361526 20723052