Search a number
-
+
379680 = 25357113
BaseRepresentation
bin1011100101100100000
3201021211020
41130230200
544122210
612045440
73140640
oct1345440
9637736
10379680
1123a294
12163880
13103a82
149c520
1577770
hex5cb20

379680 has 96 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 86016.

The previous prime is 379679. The next prime is 379681. The reversal of 379680 is 86973.

It is a happy number.

379680 is nontrivially palindromic in base 9.

379680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (379679) and next prime (379681).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379681) 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, 3304 + ... + 3416.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2379680 is an apocalyptic number.

379680 is a gapful number since it is divisible by the number (30) 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 379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

379680 is an abundant number, since it is smaller than the sum of its proper divisors (999264).

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

379680 is a wasteful number, since it uses less digits than its factorization.

379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 379680 is about 616.1817913571. The cubic root of 379680 is about 72.4112270574.

The spelling of 379680 in words is "three hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 113 120 140 160 168 210 224 226 240 280 336 339 420 452 480 560 565 672 678 791 840 904 1120 1130 1356 1582 1680 1695 1808 2260 2373 2712 3164 3360 3390 3616 3955 4520 4746 5424 6328 6780 7910 9040 9492 10848 11865 12656 13560 15820 18080 18984 23730 25312 27120 31640 37968 47460 54240 63280 75936 94920 126560 189840 379680