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379960 = 23572359
BaseRepresentation
bin1011100110000111000
3201022012121
41130300320
544124320
612051024
73141520
oct1346070
9638177
10379960
1123a519
12163a74
13103c39
149c680
15778aa
hex5cc38

379960 has 64 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 122496.

The previous prime is 379931. The next prime is 379963. The reversal of 379960 is 69973.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379963) by changing a digit.

379960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6411 + ... + 6469.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2379960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

379960 is an abundant number, since it is smaller than the sum of its proper divisors (656840).

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

379960 is a wasteful number, since it uses less digits than its factorization.

379960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 379960 is about 616.4089551588. The cubic root of 379960 is about 72.4290228868.

The spelling of 379960 in words is "three hundred seventy-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 59 70 92 115 118 140 161 184 230 236 280 295 322 413 460 472 590 644 805 826 920 1180 1288 1357 1610 1652 2065 2360 2714 3220 3304 4130 5428 6440 6785 8260 9499 10856 13570 16520 18998 27140 37996 47495 54280 75992 94990 189980 379960