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20674944 = 2732131137
BaseRepresentation
bin100111011011…
…1100110000000
31102220101200200
41032313212000
520243044234
62015045200
7340506543
oct116674600
942811620
1020674944
1110741434
126b10800
13438b6c4
142a6285a
151c35d99
hex13b7980

20674944 has 96 divisors (see below), whose sum is σ = 60386040. Its totient is φ = 6789120.

The previous prime is 20674943. The next prime is 20674949. The reversal of 20674944 is 44947602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 20674899 and 20674908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20674943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150844 + ... + 150980.

Almost surely, 220674944 is an apocalyptic number.

20674944 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 20674944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30193020).

20674944 is an abundant number, since it is smaller than the sum of its proper divisors (39711096).

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

20674944 is a wasteful number, since it uses less digits than its factorization.

20674944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 20674944 is about 4546.9708598143. The cubic root of 20674944 is about 274.4615093293.

The spelling of 20674944 in words is "twenty million, six hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 137 144 192 262 274 288 384 393 411 524 548 576 786 822 1048 1096 1152 1179 1233 1572 1644 2096 2192 2358 2466 3144 3288 4192 4384 4716 4932 6288 6576 8384 8768 9432 9864 12576 13152 16768 17536 17947 18864 19728 25152 26304 35894 37728 39456 50304 52608 53841 71788 75456 78912 107682 143576 150912 157824 161523 215364 287152 323046 430728 574304 646092 861456 1148608 1292184 1722912 2297216 2584368 3445824 5168736 6891648 10337472 20674944