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2380480 = 26543173
BaseRepresentation
bin1001000101001011000000
311110221101221
421011023000
51102133410
6123004424
726143114
oct11051300
94427357
102380480
111386543
12969714
1365468b
1445d744
153204da
hex2452c0

2380480 has 56 divisors (see below), whose sum is σ = 5833872. Its totient is φ = 924672.

The previous prime is 2380471. The next prime is 2380481. The reversal of 2380480 is 840832.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2380481) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13674 + ... + 13846.

22380480 is an apocalyptic number.

2380480 is a gapful number since it is divisible by the number (20) 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 2380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916936).

2380480 is an abundant number, since it is smaller than the sum of its proper divisors (3453392).

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

2380480 is a wasteful number, since it uses less digits than its factorization.

2380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2380480 is about 1542.8804231048. The cubic root of 2380480 is about 133.5226200408.

The spelling of 2380480 in words is "two million, three hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 173 215 320 344 346 430 688 692 860 865 1376 1384 1720 1730 2752 2768 3440 3460 5536 6880 6920 7439 11072 13760 13840 14878 27680 29756 37195 55360 59512 74390 119024 148780 238048 297560 476096 595120 1190240 2380480