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20960436 = 2237243829
BaseRepresentation
bin100111111110…
…1010010110100
31110102220022110
41033331102310
520331213221
62025131020
7343106100
oct117752264
943386273
1020960436
1110916982
127029a70
13445b633
142ad8900
151c90776
hex13fd4b4

20960436 has 72 divisors (see below), whose sum is σ = 58285920. Its totient is φ = 5842368.

The previous prime is 20960431. The next prime is 20960437. The reversal of 20960436 is 63406902.

20960436 = T361 + T362 + ... + T556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20960431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24870 + ... + 25698.

Almost surely, 220960436 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 20960436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29142960).

20960436 is an abundant number, since it is smaller than the sum of its proper divisors (37325484).

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

20960436 is a wasteful number, since it uses less digits than its factorization.

20960436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 20960436 is about 4578.2568735273. The cubic root of 20960436 is about 275.7190482783.

The spelling of 20960436 in words is "twenty million, nine hundred sixty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 829 903 1204 1658 1806 2107 2487 3316 3612 4214 4974 5803 6321 8428 9948 11606 12642 17409 23212 25284 34818 35647 40621 69636 71294 81242 106941 121863 142588 162484 213882 243726 249529 427764 487452 499058 748587 998116 1497174 1746703 2994348 3493406 5240109 6986812 10480218 20960436