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30770100 = 223252179191
BaseRepresentation
bin111010101100…
…0001110110100
32010220021122100
41311120032310
530334120400
63015302100
7522353514
oct165301664
963807570
1030770100
1116407039
12a37a930
1364b467a
14412d844
152a7c100
hex1d583b4

30770100 has 108 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 8116800.

The previous prime is 30770099. The next prime is 30770123. The reversal of 30770100 is 107703.

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 35 ways as a sum of consecutive naturals, for example, 161005 + ... + 161195.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 230770100 is an apocalyptic number.

30770100 is a gapful number since it is divisible by the number (30) 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 30770100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

30770100 is an abundant number, since it is smaller than the sum of its proper divisors (66723660).

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

30770100 is a wasteful number, since it uses less digits than its factorization.

30770100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 30770100 is about 5547.0803131017. The cubic root of 30770100 is about 313.3595747853.

Adding to 30770100 its reverse (107703), we get a palindrome (30877803).

It can be divided in two parts, 307 and 70100, that added together give a palindrome (70407).

The spelling of 30770100 in words is "thirty million, seven hundred seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 179 180 191 225 300 358 382 450 537 573 716 764 895 900 955 1074 1146 1611 1719 1790 1910 2148 2292 2685 2865 3222 3438 3580 3820 4475 4775 5370 5730 6444 6876 8055 8595 8950 9550 10740 11460 13425 14325 16110 17190 17900 19100 26850 28650 32220 34189 34380 40275 42975 53700 57300 68378 80550 85950 102567 136756 161100 170945 171900 205134 307701 341890 410268 512835 615402 683780 854725 1025670 1230804 1538505 1709450 2051340 2564175 3077010 3418900 5128350 6154020 7692525 10256700 15385050 30770100