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20755944 = 23321173359
BaseRepresentation
bin100111100101…
…1010111101000
31110001111210200
41033023113220
520303142234
62020512200
7341264646
oct117132750
943044720
1020755944
1110797280
126b4b660
1343b9531
142a84196
151c4ed99
hex13cb5e8

20755944 has 96 divisors (see below), whose sum is σ = 62337600. Its totient is φ = 6186240.

The previous prime is 20755937. The next prime is 20755951. The reversal of 20755944 is 44955702.

It is an interprime number because it is at equal distance from previous prime (20755937) and next prime (20755951).

It is a super-2 number, since 2×207559442 = 861618422662272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20755899 and 20755908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57637 + ... + 57995.

It is an arithmetic number, because the mean of its divisors is an integer number (649350).

Almost surely, 220755944 is an apocalyptic number.

20755944 is a gapful number since it is divisible by the number (24) 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 20755944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31168800).

20755944 is an abundant number, since it is smaller than the sum of its proper divisors (41581656).

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

20755944 is a wasteful number, since it uses less digits than its factorization.

20755944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 20755944 is about 4555.8691816162. The cubic root of 20755944 is about 274.8194693909.

The spelling of 20755944 in words is "twenty million, seven hundred fifty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 132 146 198 219 264 292 359 396 438 584 657 718 792 803 876 1077 1314 1436 1606 1752 2154 2409 2628 2872 3212 3231 3949 4308 4818 5256 6424 6462 7227 7898 8616 9636 11847 12924 14454 15796 19272 23694 25848 26207 28908 31592 35541 47388 52414 57816 71082 78621 94776 104828 142164 157242 209656 235863 284328 288277 314484 471726 576554 628968 864831 943452 1153108 1729662 1886904 2306216 2594493 3459324 5188986 6918648 10377972 20755944