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20697444 = 2234127503
BaseRepresentation
bin100111011110…
…1000101100100
31102221112120000
41032331011210
520244304234
62015341300
7340632255
oct116750544
942845500
1020697444
1110757329
126b21830
134398a11
142a6ab2c
151c3c899
hex13bd164

20697444 has 60 divisors (see below), whose sum is σ = 54641664. Its totient is φ = 6831216.

The previous prime is 20697433. The next prime is 20697451. The reversal of 20697444 is 44479602.

20697444 is a `hidden beast` number, since 206 + 9 + 7 + 444 = 666.

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 = 20697399 and 20697408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40897 + ... + 41399.

Almost surely, 220697444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20697444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27320832).

20697444 is an abundant number, since it is smaller than the sum of its proper divisors (33944220).

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

20697444 is a wasteful number, since it uses less digits than its factorization.

20697444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 20697444 is about 4549.4443616776. Note that the first 3 decimals coincide. The cubic root of 20697444 is about 274.5610363243.

The spelling of 20697444 in words is "twenty million, six hundred ninety-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 254 324 381 503 508 762 1006 1143 1509 1524 2012 2286 3018 3429 4527 4572 6036 6858 9054 10287 13581 13716 18108 20574 27162 40743 41148 54324 63881 81486 127762 162972 191643 255524 383286 574929 766572 1149858 1724787 2299716 3449574 5174361 6899148 10348722 20697444