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20766516 = 22323671123
BaseRepresentation
bin100111100110…
…1111100110100
31110002001022020
41033031330310
520304012031
62021033140
7341340531
oct117157464
943061266
1020766516
11107a4211
126b557b0
1343c12a4
142a87d88
151c53096
hex13cdf34

20766516 has 48 divisors (see below), whose sum is σ = 51362304. Its totient is φ = 6516576.

The previous prime is 20766479. The next prime is 20766521. The reversal of 20766516 is 61566702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17931 + ... + 19053.

It is an arithmetic number, because the mean of its divisors is an integer number (1070048).

Almost surely, 220766516 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 20766516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25681152).

20766516 is an abundant number, since it is smaller than the sum of its proper divisors (30595788).

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

20766516 is a wasteful number, since it uses less digits than its factorization.

20766516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 20766516 is about 4557.0292954950. The cubic root of 20766516 is about 274.8661210599.

The spelling of 20766516 in words is "twenty million, seven hundred sixty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 67 69 92 134 138 201 268 276 402 804 1123 1541 2246 3082 3369 4492 4623 6164 6738 9246 13476 18492 25829 51658 75241 77487 103316 150482 154974 225723 300964 309948 451446 902892 1730543 3461086 5191629 6922172 10383258 20766516