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20725656 = 23371943151
BaseRepresentation
bin100111100001…
…1111110011000
31102222222020220
41033003332120
520301210111
62020120040
7341110440
oct117037630
942888226
1020725656
1110776546
126b36020
1343a8803
142a77120
151c45e06
hex13c3f98

20725656 has 128 divisors (see below), whose sum is σ = 64204800. Its totient is φ = 5443200.

The previous prime is 20725631. The next prime is 20725667. The reversal of 20725656 is 65652702.

20725656 is a modest number, since divided by 5656 gives 2072 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137181 + ... + 137331.

It is an arithmetic number, because the mean of its divisors is an integer number (501600).

Almost surely, 220725656 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 20725656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32102400).

20725656 is an abundant number, since it is smaller than the sum of its proper divisors (43479144).

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

20725656 is a wasteful number, since it uses less digits than its factorization.

20725656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 20725656 is about 4552.5439042364. The cubic root of 20725656 is about 274.6857280369.

The spelling of 20725656 in words is "twenty million, seven hundred twenty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 43 56 57 76 84 86 114 129 133 151 152 168 172 228 258 266 301 302 344 399 453 456 516 532 602 604 798 817 903 906 1032 1057 1064 1204 1208 1596 1634 1806 1812 2114 2408 2451 2869 3171 3192 3268 3612 3624 4228 4902 5719 5738 6342 6493 6536 7224 8456 8607 9804 11438 11476 12684 12986 17157 17214 19479 19608 20083 22876 22952 25368 25972 34314 34428 38958 40166 45451 45752 51944 60249 68628 68856 77916 80332 90902 120498 123367 136353 137256 155832 160664 181804 240996 246734 272706 363608 370101 481992 493468 545412 740202 863569 986936 1090824 1480404 1727138 2590707 2960808 3454276 5181414 6908552 10362828 20725656