Search a number
-
+
3705728 = 271317131
BaseRepresentation
bin1110001000101110000000
320222021022012
432020232000
51422040403
6211232052
743332605
oct16105600
96867265
103705728
112101194
1212a8628
139c9950
146c66ac
154d2ed8
hex388b80

3705728 has 64 divisors (see below), whose sum is σ = 8482320. Its totient is φ = 1597440.

The previous prime is 3705719. The next prime is 3705739. The reversal of 3705728 is 8275073.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3705694 and 3705703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28223 + ... + 28353.

Almost surely, 23705728 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 3705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241160).

3705728 is an abundant number, since it is smaller than the sum of its proper divisors (4776592).

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

3705728 is a wasteful number, since it uses less digits than its factorization.

3705728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 3705728 is about 1925.0267530609. The cubic root of 3705728 is about 154.7478105065.

The spelling of 3705728 in words is "three million, seven hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 131 136 208 221 262 272 416 442 524 544 832 884 1048 1088 1664 1703 1768 2096 2176 2227 3406 3536 4192 4454 6812 7072 8384 8908 13624 14144 16768 17816 27248 28288 28951 35632 54496 57902 71264 108992 115804 142528 217984 231608 285056 463216 926432 1852864 3705728