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20757429 = 3272112389
BaseRepresentation
bin100111100101…
…1101110110101
31110001120211200
41033023232311
520303214204
62020523113
7341302200
oct117135665
943046750
1020757429
1110798400
126b50499
1343ba104
142a84937
151c50539
hex13cbbb5

20757429 has 54 divisors (see below), whose sum is σ = 38435670. Its totient is φ = 10755360.

The previous prime is 20757427. The next prime is 20757437. The reversal of 20757429 is 92475702.

It can be written as a sum of positive squares in only one way, i.e., 15421329 + 5336100 = 3927^2 + 2310^2 .

It is not a de Polignac number, because 20757429 - 21 = 20757427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20757393 and 20757402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20757421) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 53167 + ... + 53555.

Almost surely, 220757429 is an apocalyptic number.

It is an amenable number.

20757429 is a deficient number, since it is larger than the sum of its proper divisors (17678241).

20757429 is a wasteful number, since it uses less digits than its factorization.

20757429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 20757429 is about 4556.0321552860. The cubic root of 20757429 is about 274.8260232915.

The spelling of 20757429 in words is "twenty million, seven hundred fifty-seven thousand, four hundred twenty-nine".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 389 441 539 693 847 1089 1167 1617 2541 2723 3501 4279 4851 5929 7623 8169 12837 17787 19061 24507 29953 38511 47069 53361 57183 89859 141207 171549 209671 269577 329483 423621 629013 988449 1887039 2306381 2965347 6919143 20757429