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305103140 = 225194119583
BaseRepresentation
bin10010001011111…
…000000100100100
3210021002211211022
4102023320010210
51111101300030
650135230312
710363222346
oct2213700444
9707084738
10305103140
1114724a561
1286218398
134b296804
142c741296
151bbbade5
hex122f8124

305103140 has 48 divisors (see below), whose sum is σ = 690923520. Its totient is φ = 112792320.

The previous prime is 305103137. The next prime is 305103143. The reversal of 305103140 is 41301503.

It is an interprime number because it is at equal distance from previous prime (305103137) and next prime (305103143).

It is not an unprimeable number, because it can be changed into a prime (305103143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5789 + ... + 25371.

It is an arithmetic number, because the mean of its divisors is an integer number (14394240).

Almost surely, 2305103140 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 305103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345461760).

305103140 is an abundant number, since it is smaller than the sum of its proper divisors (385820380).

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

305103140 is a wasteful number, since it uses less digits than its factorization.

305103140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19652 (or 19650 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 305103140 is about 17467.2018365850. The cubic root of 305103140 is about 673.2074174463.

Adding to 305103140 its reverse (41301503), we get a palindrome (346404643).

The spelling of 305103140 in words is "three hundred five million, one hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 1558 3116 3895 7790 15580 19583 39166 78332 97915 195830 372077 391660 744154 802903 1488308 1605806 1860385 3211612 3720770 4014515 7441540 8029030 15255157 16058060 30510314 61020628 76275785 152551570 305103140