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20724444 = 22331329509
BaseRepresentation
bin100111100001…
…1101011011100
31102222220121000
41033003223130
520301140234
62020110300
7341104056
oct117035334
942886530
1020724444
1110775644
126b35390
1343a80b0
142a768d6
151c45899
hex13c3adc

20724444 has 96 divisors (see below), whose sum is σ = 59976000. Its totient is φ = 6144768.

The previous prime is 20724443. The next prime is 20724463. The reversal of 20724444 is 44442702.

It is a Harshad number since it is a multiple of its sum of digits (27).

20724444 is a modest number, since divided by 4444 gives 2072 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20724443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40462 + ... + 40970.

It is an arithmetic number, because the mean of its divisors is an integer number (624750).

Almost surely, 220724444 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 20724444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29988000).

20724444 is an abundant number, since it is smaller than the sum of its proper divisors (39251556).

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

20724444 is a wasteful number, since it uses less digits than its factorization.

20724444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 20724444 is about 4552.4107899002. The cubic root of 20724444 is about 274.6803735527.

The spelling of 20724444 in words is "twenty million, seven hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 87 108 116 117 156 174 234 261 348 351 377 468 509 522 702 754 783 1018 1044 1131 1404 1508 1527 1566 2036 2262 3054 3132 3393 4524 4581 6108 6617 6786 9162 10179 13234 13572 13743 14761 18324 19851 20358 26468 27486 29522 39702 40716 44283 54972 59044 59553 79404 88566 119106 132849 177132 178659 191893 238212 265698 357318 383786 398547 531396 575679 714636 767572 797094 1151358 1594188 1727037 2302716 3454074 5181111 6908148 10362222 20724444