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20561632 = 2571323307
BaseRepresentation
bin100111001101…
…1111011100000
31102200122020221
41032123323200
520230433012
62012412424
7336525310
oct116337340
942618227
1020561632
1110674293
126a77114
13434bc60
142a33440
151c12507
hex139bee0

20561632 has 96 divisors (see below), whose sum is σ = 52157952. Its totient is φ = 7755264.

The previous prime is 20561621. The next prime is 20561633. The reversal of 20561632 is 23616502.

It is a junction number, because it is equal to n+sod(n) for n = 20561597 and 20561606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20561633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66823 + ... + 67129.

It is an arithmetic number, because the mean of its divisors is an integer number (543312).

Almost surely, 220561632 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 20561632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26078976).

20561632 is an abundant number, since it is smaller than the sum of its proper divisors (31596320).

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

20561632 is a wasteful number, since it uses less digits than its factorization.

20561632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 20561632 is about 4534.4935770161. The cubic root of 20561632 is about 273.9591819424.

The spelling of 20561632 in words is "twenty million, five hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 91 92 104 112 161 182 184 208 224 299 307 322 364 368 416 598 614 644 728 736 1196 1228 1288 1456 2093 2149 2392 2456 2576 2912 3991 4186 4298 4784 4912 5152 7061 7982 8372 8596 9568 9824 14122 15964 16744 17192 27937 28244 31928 33488 34384 49427 55874 56488 63856 66976 68768 91793 98854 111748 112976 127712 183586 197708 223496 225952 367172 395416 446992 642551 734344 790832 893984 1285102 1468688 1581664 2570204 2937376 5140408 10280816 20561632