Search a number
-
+
4121370 = 23251123181
BaseRepresentation
bin1111101110001100011010
321202101110100
433232030122
52023340440
6224200230
750013441
oct17561432
97671410
104121370
1123654a0
121469076
13b13ba6
14793d58
15566230
hex3ee31a

4121370 has 96 divisors (see below), whose sum is σ = 12265344. Its totient is φ = 950400.

The previous prime is 4121321. The next prime is 4121387. The reversal of 4121370 is 731214.

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

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 47 ways as a sum of consecutive naturals, for example, 22680 + ... + 22860.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

Almost surely, 24121370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672).

4121370 is an abundant number, since it is smaller than the sum of its proper divisors (8143974).

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

4121370 is a wasteful number, since it uses less digits than its factorization.

4121370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4121370 is about 2030.1157602462. The cubic root of 4121370 is about 160.3296588567.

Adding to 4121370 its reverse (731214), we get a palindrome (4852584).

The spelling of 4121370 in words is "four million, one hundred twenty-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 181 198 207 230 253 330 345 362 414 495 506 543 690 759 905 990 1035 1086 1265 1518 1629 1810 1991 2070 2277 2530 2715 3258 3795 3982 4163 4554 5430 5973 7590 8145 8326 9955 11385 11946 12489 16290 17919 19910 20815 22770 24978 29865 35838 37467 41630 45793 59730 62445 74934 89595 91586 124890 137379 179190 187335 228965 274758 374670 412137 457930 686895 824274 1373790 2060685 4121370