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20945448 = 23321961251
BaseRepresentation
bin100111111100…
…1101000101000
31110102010202100
41033321220220
520330223243
62024533400
7343014306
oct117715050
943363670
1020945448
1110906697
127021260
134454874
142ad3276
151c8b0d3
hex13f9a28

20945448 has 96 divisors (see below), whose sum is σ = 60933600. Its totient is φ = 6480000.

The previous prime is 20945399. The next prime is 20945461. The reversal of 20945448 is 84454902.

20945448 is a `hidden beast` number, since 20 + 94 + 544 + 8 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 83323 + ... + 83573.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 220945448 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 20945448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466800).

20945448 is an abundant number, since it is smaller than the sum of its proper divisors (39988152).

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

20945448 is a wasteful number, since it uses less digits than its factorization.

20945448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 336 counting only the distinct ones).

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

The square root of 20945448 is about 4576.6197132818. The cubic root of 20945448 is about 275.6533139192.

The spelling of 20945448 in words is "twenty million, nine hundred forty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 61 72 76 114 122 152 171 183 228 244 251 342 366 456 488 502 549 684 732 753 1004 1098 1159 1368 1464 1506 2008 2196 2259 2318 3012 3477 4392 4518 4636 4769 6024 6954 9036 9272 9538 10431 13908 14307 15311 18072 19076 20862 27816 28614 30622 38152 41724 42921 45933 57228 61244 83448 85842 91866 114456 122488 137799 171684 183732 275598 290909 343368 367464 551196 581818 872727 1102392 1163636 1745454 2327272 2618181 3490908 5236362 6981816 10472724 20945448