Search a number
-
+
3747072 = 28371741
BaseRepresentation
bin1110010010110100000000
321001101000110
432102310000
51424401242
6212151320
743564260
oct16226400
97041013
103747072
11212a25a
121308540
13a12704
146d77a0
154e039c
hex392d00

3747072 has 144 divisors (see below), whose sum is σ = 12362112. Its totient is φ = 983040.

The previous prime is 3747071. The next prime is 3747077. The reversal of 3747072 is 2707473.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3747071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91372 + ... + 91412.

It is an arithmetic number, because the mean of its divisors is an integer number (85848).

Almost surely, 23747072 is an apocalyptic number.

3747072 is a gapful number since it is divisible by the number (32) 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 3747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056).

3747072 is an abundant number, since it is smaller than the sum of its proper divisors (8615040).

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

3747072 is a wasteful number, since it uses less digits than its factorization.

3747072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 30.

The square root of 3747072 is about 1935.7355191244. The cubic root of 3747072 is about 155.3211793168.

The spelling of 3747072 in words is "three million, seven hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 41 42 48 51 56 64 68 82 84 96 102 112 119 123 128 136 164 168 192 204 224 238 246 256 272 287 328 336 357 384 408 448 476 492 544 574 656 672 697 714 768 816 861 896 952 984 1088 1148 1312 1344 1394 1428 1632 1722 1792 1904 1968 2091 2176 2296 2624 2688 2788 2856 3264 3444 3808 3936 4182 4352 4592 4879 5248 5376 5576 5712 6528 6888 7616 7872 8364 9184 9758 10496 11152 11424 13056 13776 14637 15232 15744 16728 18368 19516 22304 22848 27552 29274 30464 31488 33456 36736 39032 44608 45696 55104 58548 66912 73472 78064 89216 91392 110208 117096 133824 156128 178432 220416 234192 267648 312256 468384 535296 624512 936768 1249024 1873536 3747072