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2578380 = 223572877
BaseRepresentation
bin1001110101011111001100
311211222212120
421311133030
51130002010
6131132540
730626100
oct11653714
94758776
102578380
1115011a2
12a44150
136c378c
144b1900
1535de70
hex2757cc

2578380 has 72 divisors (see below), whose sum is σ = 8407728. Its totient is φ = 588672.

The previous prime is 2578351. The next prime is 2578391. The reversal of 2578380 is 838752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2502 + ... + 3378.

It is an arithmetic number, because the mean of its divisors is an integer number (116774).

22578380 is an apocalyptic number.

2578380 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 2578380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203864).

2578380 is an abundant number, since it is smaller than the sum of its proper divisors (5829348).

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

2578380 is a wasteful number, since it uses less digits than its factorization.

2578380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2578380 is about 1605.7334772620. The cubic root of 2578380 is about 137.1246844720.

The spelling of 2578380 in words is "two million, five hundred seventy-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 877 980 1470 1754 2631 2940 3508 4385 5262 6139 8770 10524 12278 13155 17540 18417 24556 26310 30695 36834 42973 52620 61390 73668 85946 92085 122780 128919 171892 184170 214865 257838 368340 429730 515676 644595 859460 1289190 2578380