Search a number
-
+
3087936 = 26331787
BaseRepresentation
bin1011110001111001000000
312210212212000
423301321000
51242303221
6150104000
735150505
oct13617100
95725760
103087936
11181a015
12104b000
138416a7
145a54ac
1540ee26
hex2f1e40

3087936 has 56 divisors (see below), whose sum is σ = 9083040. Its totient is φ = 1028736.

The previous prime is 3087923. The next prime is 3087943. The reversal of 3087936 is 6397803.

It is a super-3 number, since 3×30879363 = 88333639941291245568, which contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3087936.

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, 835 + ... + 2621.

Almost surely, 23087936 is an apocalyptic number.

3087936 is a gapful number since it is divisible by the number (36) 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 3087936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541520).

3087936 is an abundant number, since it is smaller than the sum of its proper divisors (5995104).

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

3087936 is a wasteful number, since it uses less digits than its factorization.

3087936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3087936 is about 1757.2524007666. The cubic root of 3087936 is about 145.6205823658.

The spelling of 3087936 in words is "three million, eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1787 3574 5361 7148 10722 14296 16083 21444 28592 32166 42888 48249 57184 64332 85776 96498 114368 128664 171552 192996 257328 343104 385992 514656 771984 1029312 1543968 3087936