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20629770 = 2357193509
BaseRepresentation
bin100111010110…
…0100100001010
31102211002201120
41032230210022
520240123040
62014100110
7340231050
oct116544412
942732646
1020629770
11107104a7
126aaa636
134373c85
142a501d0
151c277d0
hex13ac90a

20629770 has 64 divisors (see below), whose sum is σ = 56989440. Its totient is φ = 4681728.

The previous prime is 20629751. The next prime is 20629783. The reversal of 20629770 is 7792602.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40276 + ... + 40784.

It is an arithmetic number, because the mean of its divisors is an integer number (890460).

Almost surely, 220629770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20629770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28494720).

20629770 is an abundant number, since it is smaller than the sum of its proper divisors (36359670).

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

20629770 is a wasteful number, since it uses less digits than its factorization.

20629770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 20629770 is about 4542.0006605019. Note that the first 3 decimals coincide. The cubic root of 20629770 is about 274.2614674282.

The spelling of 20629770 in words is "twenty million, six hundred twenty-nine thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 193 210 386 509 579 965 1018 1158 1351 1527 1930 2545 2702 2895 3054 3563 4053 5090 5790 6755 7126 7635 8106 10689 13510 15270 17815 20265 21378 35630 40530 53445 98237 106890 196474 294711 491185 589422 687659 982370 1375318 1473555 2062977 2947110 3438295 4125954 6876590 10314885 20629770