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20945664 = 28329091
BaseRepresentation
bin100111111100…
…1101100000000
31110102011001100
41033321230000
520330230124
62024534400
7343015035
oct117715400
943364040
1020945664
1110906873
127021400
1344549ac
142ad338c
151c8b1c9
hex13f9b00

20945664 has 54 divisors (see below), whose sum is σ = 60398156. Its totient is φ = 6981120.

The previous prime is 20945651. The next prime is 20945693. The reversal of 20945664 is 46654902.

20945664 is a `hidden beast` number, since 2 + 0 + 94 + 566 + 4 = 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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2242 + ... + 6849.

Almost surely, 220945664 is an apocalyptic number.

20945664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20945664 is an abundant number, since it is smaller than the sum of its proper divisors (39452492).

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

20945664 is an equidigital number, since it uses as much as digits as its factorization.

20945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9113 (or 9096 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 20945664 is about 4576.6433114238. The cubic root of 20945664 is about 275.6542614745.

It can be divided in two parts, 20945 and 664, that added together give a square (21609 = 1472).

The spelling of 20945664 in words is "twenty million, nine hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 9091 18182 27273 36364 54546 72728 81819 109092 145456 163638 218184 290912 327276 436368 581824 654552 872736 1163648 1309104 1745472 2327296 2618208 3490944 5236416 6981888 10472832 20945664