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376920 = 23335349
BaseRepresentation
bin1011100000001011000
3201011001000
41130001120
544030140
612025000
73126615
oct1340130
9634030
10376920
11238205
12162160
1310273b
149b50c
1576a30
hex5c058

376920 has 64 divisors (see below), whose sum is σ = 1260000. Its totient is φ = 100224.

The previous prime is 376897. The next prime is 376921. The reversal of 376920 is 29673.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376921) by changing a digit.

376920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906 + ... + 1254.

2376920 is an apocalyptic number.

376920 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 376920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630000).

376920 is an abundant number, since it is smaller than the sum of its proper divisors (883080).

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

376920 is a wasteful number, since it uses less digits than its factorization.

376920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 376920 is about 613.9381076298. The cubic root of 376920 is about 72.2353410313.

It can be divided in two parts, 376 and 920, that added together give a 4-th power (1296 = 64).

The spelling of 376920 in words is "three hundred seventy-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 349 360 540 698 1047 1080 1396 1745 2094 2792 3141 3490 4188 5235 6282 6980 8376 9423 10470 12564 13960 15705 18846 20940 25128 31410 37692 41880 47115 62820 75384 94230 125640 188460 376920