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2380960 = 25523647
BaseRepresentation
bin1001000101010010100000
311110222001201
421011102200
51102142320
6123010544
726144401
oct11052240
94428051
102380960
11138693a
12969a54
1365496a
1445d9a8
1532070a
hex2454a0

2380960 has 48 divisors (see below), whose sum is σ = 5878656. Its totient is φ = 909568.

The previous prime is 2380957. The next prime is 2380997. The reversal of 2380960 is 690832.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 3357 + ... + 4003.

It is an arithmetic number, because the mean of its divisors is an integer number (122472).

22380960 is an apocalyptic number.

2380960 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 2380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939328).

2380960 is an abundant number, since it is smaller than the sum of its proper divisors (3497696).

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

2380960 is a wasteful number, since it uses less digits than its factorization.

2380960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2380960 is about 1543.0359684725. The cubic root of 2380960 is about 133.5315939383.

The spelling of 2380960 in words is "two million, three hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 647 736 920 1294 1840 2588 3235 3680 5176 6470 10352 12940 14881 20704 25880 29762 51760 59524 74405 103520 119048 148810 238096 297620 476192 595240 1190480 2380960