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2380950 = 23252111337
BaseRepresentation
bin1001000101010010010110
311110222001100
421011102112
51102142300
6123010530
726144355
oct11052226
94428040
102380950
111386930
12969a46
13654960
1445d99c
15320700
hex245496

2380950 has 144 divisors (see below), whose sum is σ = 7718256. Its totient is φ = 518400.

The previous prime is 2380921. The next prime is 2380951. The reversal of 2380950 is 590832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64332 + ... + 64368.

It is an arithmetic number, because the mean of its divisors is an integer number (53599).

22380950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859128).

2380950 is an abundant number, since it is smaller than the sum of its proper divisors (5337306).

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

2380950 is a wasteful number, since it uses less digits than its factorization.

2380950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2380950 is about 1543.0327281040. The cubic root of 2380950 is about 133.5314069944.

The spelling of 2380950 in words is "two million, three hundred eighty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 25 26 30 33 37 39 45 50 55 65 66 74 75 78 90 99 110 111 117 130 143 150 165 185 195 198 222 225 234 275 286 325 330 333 370 390 407 429 450 481 495 550 555 585 650 666 715 814 825 858 925 962 975 990 1110 1170 1221 1287 1430 1443 1650 1665 1850 1950 2035 2145 2405 2442 2475 2574 2775 2886 2925 3330 3575 3663 4070 4290 4329 4810 4950 5291 5550 5850 6105 6435 7150 7215 7326 8325 8658 10175 10582 10725 12025 12210 12870 14430 15873 16650 18315 20350 21450 21645 24050 26455 30525 31746 32175 36075 36630 43290 47619 52910 61050 64350 72150 79365 91575 95238 108225 132275 158730 183150 216450 238095 264550 396825 476190 793650 1190475 2380950