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2379120 = 243523431
BaseRepresentation
bin1001000100110101110000
311110212112120
421010311300
51102112440
6122554240
726136132
oct11046560
94425476
102379120
111385517
12968980
13653b83
1445d052
1531edd0
hex244d70

2379120 has 80 divisors (see below), whose sum is σ = 7713792. Its totient is φ = 605440.

The previous prime is 2379079. The next prime is 2379149. The reversal of 2379120 is 219732.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5305 + ... + 5735.

22379120 is an apocalyptic number.

2379120 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 2379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856896).

2379120 is an abundant number, since it is smaller than the sum of its proper divisors (5334672).

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

2379120 is a wasteful number, since it uses less digits than its factorization.

2379120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2379120 is about 1542.4396260470. The cubic root of 2379120 is about 133.4971874451.

The spelling of 2379120 in words is "two million, three hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 431 460 552 690 862 920 1104 1293 1380 1724 1840 2155 2586 2760 3448 4310 5172 5520 6465 6896 8620 9913 10344 12930 17240 19826 20688 25860 29739 34480 39652 49565 51720 59478 79304 99130 103440 118956 148695 158608 198260 237912 297390 396520 475824 594780 793040 1189560 2379120