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20717312 = 287111051
BaseRepresentation
bin100111100000…
…1111100000000
31102222112210212
41033001330000
520300423222
62020013252
7341044220
oct117017400
942875725
1020717312
1110770250
126b31228
1343a4a85
142a74080
151c436e2
hex13c1f00

20717312 has 72 divisors (see below), whose sum is σ = 51606912. Its totient is φ = 8064000.

The previous prime is 20717261. The next prime is 20717377. The reversal of 20717312 is 21371702.

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, 19187 + ... + 20237.

Almost surely, 220717312 is an apocalyptic number.

20717312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20717312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25803456).

20717312 is an abundant number, since it is smaller than the sum of its proper divisors (30889600).

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

20717312 is a wasteful number, since it uses less digits than its factorization.

20717312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 20717312 is about 4551.6274012709. The cubic root of 20717312 is about 274.6488609230.

The spelling of 20717312 in words is "twenty million, seven hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1051 1232 1408 1792 2102 2464 2816 4204 4928 7357 8408 9856 11561 14714 16816 19712 23122 29428 33632 46244 58856 67264 80927 92488 117712 134528 161854 184976 235424 269056 323708 369952 470848 647416 739904 941696 1294832 1479808 1883392 2589664 2959616 5179328 10358656 20717312