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20069376 = 210347139
BaseRepresentation
bin100110010001…
…1110000000000
31101202122000020
41030203300000
520114210001
61554053440
7332405205
oct114436000
941678006
1020069376
1110368468
12687a280
134208b92
142945cac
151b66736
hex1323c00

20069376 has 88 divisors (see below), whose sum is σ = 55023360. Its totient is φ = 6500352.

The previous prime is 20069359. The next prime is 20069383. The reversal of 20069376 is 67396002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144315 + ... + 144453.

Almost surely, 220069376 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 20069376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27511680).

20069376 is an abundant number, since it is smaller than the sum of its proper divisors (34953984).

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

20069376 is a wasteful number, since it uses less digits than its factorization.

20069376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 20069376 is about 4479.8857128280. The cubic root of 20069376 is about 271.7552585134.

The spelling of 20069376 in words is "twenty million, sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 139 141 188 192 256 278 282 376 384 417 512 556 564 752 768 834 1024 1112 1128 1504 1536 1668 2224 2256 3008 3072 3336 4448 4512 6016 6533 6672 8896 9024 12032 13066 13344 17792 18048 19599 24064 26132 26688 35584 36096 39198 48128 52264 53376 71168 72192 78396 104528 106752 142336 144384 156792 209056 213504 313584 418112 427008 627168 836224 1254336 1672448 2508672 3344896 5017344 6689792 10034688 20069376