Search a number
-
+
3891096 = 233211173
BaseRepresentation
bin1110110101111110011000
321022200120200
432311332120
51444003341
6215222200
745034206
oct16657630
97280520
103891096
112218490
121377960
13a63131
14734076
1551cdb6
hex3b5f98

3891096 has 96 divisors (see below), whose sum is σ = 12214800. Its totient is φ = 1109760.

The previous prime is 3891077. The next prime is 3891103. The reversal of 3891096 is 6901983.

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 3891096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228880 + ... + 228896.

Almost surely, 23891096 is an apocalyptic number.

3891096 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 3891096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107400).

3891096 is an abundant number, since it is smaller than the sum of its proper divisors (8323704).

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

3891096 is a wasteful number, since it uses less digits than its factorization.

3891096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3891096 is about 1972.5861197930. The cubic root of 3891096 is about 157.2862103122.

It can be divided in two parts, 389 and 1096, that added together give a triangular number (1485 = T54).

The spelling of 3891096 in words is "three million, eight hundred ninety-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 289 306 374 396 408 561 578 612 748 792 867 1122 1156 1224 1496 1683 1734 2244 2312 2601 3179 3366 3468 4488 4913 5202 6358 6732 6936 9537 9826 10404 12716 13464 14739 19074 19652 20808 25432 28611 29478 38148 39304 44217 54043 57222 58956 76296 88434 108086 114444 117912 162129 176868 216172 228888 324258 353736 432344 486387 648516 972774 1297032 1945548 3891096