Search a number
-
+
376420 = 225112959
BaseRepresentation
bin1011011111001100100
3201010100111
41123321210
544021140
612022404
73125302
oct1337144
9633314
10376420
112378a0
12161a04
13102445
149b272
15767ea
hex5be64

376420 has 48 divisors (see below), whose sum is σ = 907200. Its totient is φ = 129920.

The previous prime is 376417. The next prime is 376463. The reversal of 376420 is 24673.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 376391 and 376400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6351 + ... + 6409.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2376420 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 376420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

376420 is an abundant number, since it is smaller than the sum of its proper divisors (530780).

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

376420 is a wasteful number, since it uses less digits than its factorization.

376420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 376420 is about 613.5307653248. The cubic root of 376420 is about 72.2033858394.

The spelling of 376420 in words is "three hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 59 110 116 118 145 220 236 290 295 319 580 590 638 649 1180 1276 1298 1595 1711 2596 3190 3245 3422 6380 6490 6844 8555 12980 17110 18821 34220 37642 75284 94105 188210 376420