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20957720 = 235729289
BaseRepresentation
bin100111111110…
…0101000011000
31110102202120212
41033330220120
520331121340
62025110252
7343065140
oct117745030
943382525
1020957720
1110914933
127028388
13445a324
142ad7920
151c8ea65
hex13fca18

20957720 has 96 divisors (see below), whose sum is σ = 56440800. Its totient is φ = 6859776.

The previous prime is 20957711. The next prime is 20957731. The reversal of 20957720 is 2775902.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 235436 + ... + 235524.

It is an arithmetic number, because the mean of its divisors is an integer number (587925).

Almost surely, 220957720 is an apocalyptic number.

20957720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20957720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28220400).

20957720 is an abundant number, since it is smaller than the sum of its proper divisors (35483080).

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

20957720 is a wasteful number, since it uses less digits than its factorization.

20957720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 20957720 is about 4577.9602444757. The cubic root of 20957720 is about 275.7071387728.

The spelling of 20957720 in words is "twenty million, nine hundred fifty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 89 116 140 145 178 203 232 280 290 356 406 445 580 623 712 812 841 890 1015 1160 1246 1624 1682 1780 2030 2492 2581 3115 3364 3560 4060 4205 4984 5162 5887 6230 6728 8120 8410 10324 11774 12460 12905 16820 18067 20648 23548 24920 25810 29435 33640 36134 47096 51620 58870 72268 74849 90335 103240 117740 144536 149698 180670 235480 299396 361340 374245 523943 598792 722680 748490 1047886 1496980 2095772 2619715 2993960 4191544 5239430 10478860 20957720