Search a number
-
+
1040114220 = 22357323253
BaseRepresentation
bin111101111111101…
…110001000101100
32200111011021110220
4331333232020230
54112232123340
6251113131340
734526552655
oct7577561054
92614137426
101040114220
11494132232
122503b9b50
13137643a02
149c1d052c
15614a6ed0
hex3dfee22c

1040114220 has 72 divisors (see below), whose sum is σ = 2953668816. Its totient is φ = 273480192.

The previous prime is 1040114197. The next prime is 1040114239. The reversal of 1040114220 is 224110401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1040114220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318114 + ... + 321366.

It is an arithmetic number, because the mean of its divisors is an integer number (41023178).

Almost surely, 21040114220 is an apocalyptic number.

1040114220 is a gapful number since it is divisible by the number (10) 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 1040114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476834408).

1040114220 is an abundant number, since it is smaller than the sum of its proper divisors (1913554596).

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

1040114220 is a wasteful number, since it uses less digits than its factorization.

1040114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1040114220 is about 32250.8018504967. The cubic root of 1040114220 is about 1013.1964931890.

Adding to 1040114220 its reverse (224110401), we get a palindrome (1264224621).

The spelling of 1040114220 in words is "one billion, forty million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 3253 4380 5329 6506 9759 10658 13012 15987 16265 19518 21316 26645 31974 32530 39036 48795 53290 63948 65060 79935 97590 106580 159870 195180 237469 319740 474938 712407 949876 1187345 1424814 2374690 2849628 3562035 4749380 7124070 14248140 17335237 34670474 52005711 69340948 86676185 104011422 173352370 208022844 260028555 346704740 520057110 1040114220