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20954319 = 3171572617
BaseRepresentation
bin100111111101…
…1110011001111
31110102120220220
41033323303033
520331014234
62025042423
7343052211
oct117736317
943376826
1020954319
1110912321
127026413
134458909
142ad65b1
151c8da49
hex13fbccf

20954319 has 16 divisors (see below), whose sum is σ = 29782368. Its totient is φ = 13059072.

The previous prime is 20954303. The next prime is 20954333. The reversal of 20954319 is 91345902.

20954319 = T445 + T446 + ... + T597.

It is not a de Polignac number, because 20954319 - 24 = 20954303 is a prime.

It is a super-3 number, since 3×209543193 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 20954319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20954399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6699 + ... + 9315.

It is an arithmetic number, because the mean of its divisors is an integer number (1861398).

Almost surely, 220954319 is an apocalyptic number.

20954319 is a deficient number, since it is larger than the sum of its proper divisors (8828049).

20954319 is a wasteful number, since it uses less digits than its factorization.

20954319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 20954319 is about 4577.5887757639. The cubic root of 20954319 is about 275.6922241303.

The spelling of 20954319 in words is "twenty million, nine hundred fifty-four thousand, three hundred nineteen".

Divisors: 1 3 17 51 157 471 2617 2669 7851 8007 44489 133467 410869 1232607 6984773 20954319