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20294274 = 237111331109
BaseRepresentation
bin100110101101…
…0101010000010
31102012001111210
41031122222002
520143404044
62002550550
7334332660
oct115325202
942161453
1020294274
1110501430
126968456
134287360
1429a3c30
151bad1b9
hex135aa82

20294274 has 128 divisors (see below), whose sum is σ = 56770560. Its totient is φ = 4665600.

The previous prime is 20294251. The next prime is 20294279. The reversal of 20294274 is 47249202.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20294279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186132 + ... + 186240.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 220294274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20294274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28385280).

20294274 is an abundant number, since it is smaller than the sum of its proper divisors (36476286).

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

20294274 is a wasteful number, since it uses less digits than its factorization.

20294274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 20294274 is about 4504.9166473976. The cubic root of 20294274 is about 272.7665892611.

The spelling of 20294274 in words is "twenty million, two hundred ninety-four thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 31 33 39 42 62 66 77 78 91 93 109 143 154 182 186 217 218 231 273 286 327 341 403 429 434 462 546 651 654 682 763 806 858 1001 1023 1199 1209 1302 1417 1526 2002 2046 2289 2387 2398 2418 2821 2834 3003 3379 3597 4251 4433 4578 4774 5642 6006 6758 7161 7194 8393 8463 8502 8866 9919 10137 13299 14322 15587 16786 16926 19838 20274 23653 25179 26598 29757 31031 31174 37169 43927 46761 47306 50358 59514 62062 70959 74338 87854 93093 93522 109109 111507 131781 141918 186186 218218 223014 260183 263562 307489 327327 483197 520366 614978 654654 780549 922467 966394 1449591 1561098 1844934 2899182 3382379 6764758 10147137 20294274