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38674720 = 255724933
BaseRepresentation
bin1001001110001…
…0000100100000
32200202212202001
42103202010200
534400042340
63500533344
7646505200
oct223420440
980685661
1038674720
111a915987
1210b51254
138021566
1451ca400
1535de29a
hex24e2120

38674720 has 72 divisors (see below), whose sum is σ = 106307964. Its totient is φ = 13257216.

The previous prime is 38674703. The next prime is 38674723. The reversal of 38674720 is 2747683.

It can be written as a sum of positive squares in 2 ways, for example, as 37601424 + 1073296 = 6132^2 + 1036^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38674720.

It is not an unprimeable number, because it can be changed into a prime (38674723) 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, 5374 + ... + 10306.

Almost surely, 238674720 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 38674720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53153982).

38674720 is an abundant number, since it is smaller than the sum of its proper divisors (67633244).

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

38674720 is a wasteful number, since it uses less digits than its factorization.

38674720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 38674720 is about 6218.9002243162. The cubic root of 38674720 is about 338.1756961511.

The spelling of 38674720 in words is "thirty-eight million, six hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 4933 7840 9866 19732 24665 34531 39464 49330 69062 78928 98660 138124 157856 172655 197320 241717 276248 345310 394640 483434 552496 690620 789280 966868 1104992 1208585 1381240 1933736 2417170 2762480 3867472 4834340 5524960 7734944 9668680 19337360 38674720