[go: up one dir, main page]

Search a number
-
+
6968016 = 2432115383
BaseRepresentation
bin11010100101001011010000
3111010000022200
4122211023100
53240434031
6405203200
7113140626
oct32451320
914100280
106968016
113a2a1a0
122400500
13159c7b3
14cd5516
159298e6
hex6a52d0

6968016 has 120 divisors (see below), whose sum is σ = 21936096. Its totient is φ = 2046720.

The previous prime is 6968009. The next prime is 6968023. The reversal of 6968016 is 6108696.

It is an interprime number because it is at equal distance from previous prime (6968009) and next prime (6968023).

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

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, 83911 + ... + 83993.

Almost surely, 26968016 is an apocalyptic number.

6968016 is a gapful number since it is divisible by the number (66) 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 6968016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968048).

6968016 is an abundant number, since it is smaller than the sum of its proper divisors (14968080).

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

6968016 is a wasteful number, since it uses less digits than its factorization.

6968016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6968016 is about 2639.6999829526. The cubic root of 6968016 is about 191.0013248814.

It can be divided in two parts, 69680 and 16, that added together give a palindrome (69696).

The spelling of 6968016 in words is "six million, nine hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 53 66 72 83 88 99 106 132 144 159 166 176 198 212 249 264 318 332 396 424 477 498 528 583 636 664 747 792 848 913 954 996 1166 1272 1328 1494 1584 1749 1826 1908 1992 2332 2544 2739 2988 3498 3652 3816 3984 4399 4664 5247 5478 5976 6996 7304 7632 8217 8798 9328 10494 10956 11952 13197 13992 14608 16434 17596 20988 21912 26394 27984 32868 35192 39591 41976 43824 48389 52788 65736 70384 79182 83952 96778 105576 131472 145167 158364 193556 211152 290334 316728 387112 435501 580668 633456 774224 871002 1161336 1742004 2322672 3484008 6968016