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305020000 = 2554101151
BaseRepresentation
bin10010001011100…
…011110001100000
3210020221121210001
4102023203301200
51111041120000
650133345344
710362425065
oct2213436140
9706847701
10305020000
111471a304a
1286198254
134b267a0c
142c71cc6c
151bba146a
hex122e3c60

305020000 has 120 divisors (see below), whose sum is σ = 762843312. Its totient is φ = 120000000.

The previous prime is 305019991. The next prime is 305020013. The reversal of 305020000 is 20503.

305020000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2019925 + ... + 2020075.

Almost surely, 2305020000 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 305020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381421656).

305020000 is an abundant number, since it is smaller than the sum of its proper divisors (457823312).

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

305020000 is a wasteful number, since it uses less digits than its factorization.

305020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 305020000 is about 17464.8217855207. The cubic root of 305020000 is about 673.1462626629.

Adding to 305020000 its reverse (20503), we get a palindrome (305040503).

The spelling of 305020000 in words is "three hundred five million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 151 160 200 202 250 302 400 404 500 505 604 625 755 800 808 1000 1010 1208 1250 1510 1616 2000 2020 2416 2500 2525 3020 3232 3775 4000 4040 4832 5000 5050 6040 7550 8080 10000 10100 12080 12625 15100 15251 16160 18875 20000 20200 24160 25250 30200 30502 37750 40400 50500 60400 61004 63125 75500 76255 80800 94375 101000 120800 122008 126250 151000 152510 188750 202000 244016 252500 302000 305020 377500 381275 404000 488032 505000 604000 610040 755000 762550 1010000 1220080 1510000 1525100 1906375 2020000 2440160 3020000 3050200 3812750 6100400 7625500 9531875 12200800 15251000 19063750 30502000 38127500 61004000 76255000 152510000 305020000