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20294064 = 243472237
BaseRepresentation
bin100110101101…
…0100110110000
31102012001020000
41031122212300
520143402224
62002550000
7334332240
oct115324660
942161200
1020294064
111050125a
126968300
13428722b
1429a3b20
151bad0c9
hex135a9b0

20294064 has 100 divisors (see below), whose sum is σ = 67157904. Its totient is φ = 5795712.

The previous prime is 20294063. The next prime is 20294069. The reversal of 20294064 is 46049202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20294063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7954 + ... + 10190.

Almost surely, 220294064 is an apocalyptic number.

20294064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20294064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33578952).

20294064 is an abundant number, since it is smaller than the sum of its proper divisors (46863840).

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

20294064 is a wasteful number, since it uses less digits than its factorization.

20294064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20294064 is about 4504.8933394699. The cubic root of 20294064 is about 272.7656484181.

The spelling of 20294064 in words is "twenty million, two hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2237 2268 3024 4474 4536 6711 8948 9072 13422 15659 17896 20133 26844 31318 35792 40266 46977 53688 60399 62636 80532 93954 107376 120798 125272 140931 161064 181197 187908 241596 250544 281862 322128 362394 375816 422793 483192 563724 724788 751632 845586 966384 1127448 1268379 1449576 1691172 2254896 2536758 2899152 3382344 5073516 6764688 10147032 20294064