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20841216 = 283112467
BaseRepresentation
bin100111110000…
…0001100000000
31110012211202220
41033200030000
520313404331
62022411040
7342101364
oct117401400
943184686
1020841216
1110845350
126b90a80
1344192a6
142aa72a4
151c6a296
hex13e0300

20841216 has 72 divisors (see below), whose sum is σ = 60535104. Its totient is φ = 6312960.

The previous prime is 20841211. The next prime is 20841229. The reversal of 20841216 is 61214802.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20841211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7215 + ... + 9681.

Almost surely, 220841216 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 20841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30267552).

20841216 is an abundant number, since it is smaller than the sum of its proper divisors (39693888).

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

20841216 is a wasteful number, since it uses less digits than its factorization.

20841216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 20841216 is about 4565.2180670807. The cubic root of 20841216 is about 275.1953036877.

The spelling of 20841216 in words is "twenty million, eight hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2467 2816 4224 4934 7401 8448 9868 14802 19736 27137 29604 39472 54274 59208 78944 81411 108548 118416 157888 162822 217096 236832 315776 325644 434192 473664 631552 651288 868384 947328 1302576 1736768 1894656 2605152 3473536 5210304 6947072 10420608 20841216