Search a number
-
+
1027204980 = 2235194121977
BaseRepresentation
bin111101001110011…
…110011101110100
32122120212102022220
4331032132131310
54100431024410
6245532322340
734312045464
oct7516363564
92576772286
101027204980
1148791533a
122480133b0
13134a73bc9
149a5cdba4
15602a7070
hex3d39e774

1027204980 has 96 divisors (see below), whose sum is σ = 3101535360. Its totient is φ = 253163520.

The previous prime is 1027204951. The next prime is 1027204987. The reversal of 1027204980 is 894027201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027204987) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35752 + ... + 57728.

It is an arithmetic number, because the mean of its divisors is an integer number (32307660).

Almost surely, 21027204980 is an apocalyptic number.

1027204980 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 1027204980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550767680).

1027204980 is an abundant number, since it is smaller than the sum of its proper divisors (2074330380).

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

1027204980 is a wasteful number, since it uses less digits than its factorization.

1027204980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22049 (or 22047 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1027204980 is about 32050.0386895242. The cubic root of 1027204980 is about 1008.9873128997.

The spelling of 1027204980 in words is "one billion, twenty-seven million, two hundred four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 41 57 60 76 82 95 114 123 164 190 205 228 246 285 380 410 492 570 615 779 820 1140 1230 1558 2337 2460 3116 3895 4674 7790 9348 11685 15580 21977 23370 43954 46740 65931 87908 109885 131862 219770 263724 329655 417563 439540 659310 835126 901057 1252689 1318620 1670252 1802114 2087815 2505378 2703171 3604228 4175630 4505285 5010756 5406342 6263445 8351260 9010570 10812684 12526890 13515855 17120083 18021140 25053780 27031710 34240166 51360249 54063420 68480332 85600415 102720498 171200830 205440996 256801245 342401660 513602490 1027204980