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20706435 = 345294143
BaseRepresentation
bin100111011111…
…1010010000011
31102221222220000
41032333102003
520300101220
62015451043
7341000421
oct116772203
942858800
1020706435
1110763062
126b26a83
13439cb39
142a70111
151c40390
hex13bf483

20706435 has 80 divisors (see below), whose sum is σ = 40249440. Its totient is φ = 10160640.

The previous prime is 20706431. The next prime is 20706449. The reversal of 20706435 is 53460702.

It is a happy number.

It is not a de Polignac number, because 20706435 - 22 = 20706431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20706399 and 20706408.

It is not an unprimeable number, because it can be changed into a prime (20706431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 481524 + ... + 481566.

It is an arithmetic number, because the mean of its divisors is an integer number (503118).

Almost surely, 220706435 is an apocalyptic number.

20706435 is a deficient number, since it is larger than the sum of its proper divisors (19543005).

20706435 is a wasteful number, since it uses less digits than its factorization.

20706435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20706435 is about 4550.4323970366. The cubic root of 20706435 is about 274.6007871410.

Subtracting from 20706435 its product of nonzero digits (5040), we obtain a triangular number (20701395 = T6434).

The spelling of 20706435 in words is "twenty million, seven hundred six thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 29 41 43 45 81 87 123 129 135 145 205 215 261 369 387 405 435 615 645 783 1107 1161 1189 1247 1305 1763 1845 1935 2349 3321 3483 3567 3741 3915 5289 5535 5805 5945 6235 8815 10701 11223 11745 15867 16605 17415 17835 18705 26445 32103 33669 47601 51127 53505 56115 79335 96309 101007 142803 153381 160515 168345 238005 255635 460143 481545 505035 714015 766905 1380429 2300715 4141287 6902145 20706435