Search a number
-
+
4160688 = 243722961
BaseRepresentation
bin1111110111110010110000
321211101101120
433313302300
52031120223
6225102240
750236200
oct17676260
97741346
104160688
112391a94
121487980
13b28a5c
147a4400
15572be3
hex3f7cb0

4160688 has 120 divisors (see below), whose sum is σ = 13146480. Its totient is φ = 1128960.

The previous prime is 4160669. The next prime is 4160711. The reversal of 4160688 is 8860614.

It is a super-2 number, since 2×41606882 = 34622649266688, which contains 22 as substring.

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, 68178 + ... + 68238.

It is an arithmetic number, because the mean of its divisors is an integer number (109554).

Almost surely, 24160688 is an apocalyptic number.

4160688 is a gapful number since it is divisible by the number (48) 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 4160688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573240).

4160688 is an abundant number, since it is smaller than the sum of its proper divisors (8985792).

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

4160688 is a wasteful number, since it uses less digits than its factorization.

4160688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4160688 is about 2039.7764583405. The cubic root of 4160688 is about 160.8378960706.

The spelling of 4160688 in words is "four million, one hundred sixty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 61 84 87 98 112 116 122 147 168 174 183 196 203 232 244 294 336 348 366 392 406 427 464 488 588 609 696 732 784 812 854 976 1176 1218 1281 1392 1421 1464 1624 1708 1769 2352 2436 2562 2842 2928 2989 3248 3416 3538 4263 4872 5124 5307 5684 5978 6832 7076 8526 8967 9744 10248 10614 11368 11956 12383 14152 17052 17934 20496 21228 22736 23912 24766 28304 34104 35868 37149 42456 47824 49532 68208 71736 74298 84912 86681 99064 143472 148596 173362 198128 260043 297192 346724 520086 594384 693448 1040172 1386896 2080344 4160688