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4102380 = 2233571107
BaseRepresentation
bin1111101001100011101100
321201102102000
433221203230
52022234010
6223532300
746604202
oct17514354
97642360
104102380
1123521a7
12145a090
13b08359
1478b072
155607c0
hex3e98ec

4102380 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1068480.

The previous prime is 4102379. The next prime is 4102393. The reversal of 4102380 is 832014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 38287 + ... + 38393.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 24102380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

4102380 is an abundant number, since it is smaller than the sum of its proper divisors (8961300).

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

4102380 is a wasteful number, since it uses less digits than its factorization.

4102380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4102380 is about 2025.4332869784. The cubic root of 4102380 is about 160.0830298220.

Adding to 4102380 its reverse (832014), we get a palindrome (4934394).

The spelling of 4102380 in words is "four million, one hundred two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 107 108 135 142 180 213 214 270 284 321 355 426 428 535 540 639 642 710 852 963 1065 1070 1278 1284 1420 1605 1917 1926 2130 2140 2556 2889 3195 3210 3834 3852 4260 4815 5778 6390 6420 7597 7668 9585 9630 11556 12780 14445 15194 19170 19260 22791 28890 30388 37985 38340 45582 57780 68373 75970 91164 113955 136746 151940 205119 227910 273492 341865 410238 455820 683730 820476 1025595 1367460 2051190 4102380