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20954484 = 2233251773
BaseRepresentation
bin100111111101…
…1110101110100
31110102121011000
41033323311310
520331020414
62025043300
7343052535
oct117736564
943377130
1020954484
1110912461
127026530
134458a05
142ad668c
151c8db09
hex13fbd74

20954484 has 48 divisors (see below), whose sum is σ = 54613440. Its totient is φ = 6948000.

The previous prime is 20954467. The next prime is 20954497. The reversal of 20954484 is 48445902.

20954484 is a `hidden beast` number, since 209 + 5 + 448 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26722 + ... + 27494.

It is an arithmetic number, because the mean of its divisors is an integer number (1137780).

Almost surely, 220954484 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 20954484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27306720).

20954484 is an abundant number, since it is smaller than the sum of its proper divisors (33658956).

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

20954484 is a wasteful number, since it uses less digits than its factorization.

20954484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 20954484 is about 4577.6067983172. The cubic root of 20954484 is about 275.6929477535.

It can be divided in two parts, 209544 and 84, that added together give a triangular number (209628 = T647).

The spelling of 20954484 in words is "twenty million, nine hundred fifty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 251 502 753 773 1004 1506 1546 2259 2319 3012 3092 4518 4638 6777 6957 9036 9276 13554 13914 20871 27108 27828 41742 83484 194023 388046 582069 776092 1164138 1746207 2328276 3492414 5238621 6984828 10477242 20954484