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30053000 = 235341733
BaseRepresentation
bin111001010100…
…1001010001000
32002112211222002
41302221022020
530143144000
62552050132
7513306035
oct162511210
962484862
1030053000
1115a6729a
12a093948
1362c3153
143dc438c
1529898d5
hex1ca9288

30053000 has 64 divisors (see below), whose sum is σ = 72137520. Its totient is φ = 11712000.

The previous prime is 30052999. The next prime is 30053017. The reversal of 30053000 is 35003.

It can be written as a sum of positive squares in 8 ways, for example, as 1387684 + 28665316 = 1178^2 + 5354^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40634 + ... + 41366.

Almost surely, 230053000 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 30053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36068760).

30053000 is an abundant number, since it is smaller than the sum of its proper divisors (42084520).

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

30053000 is a wasteful number, since it uses less digits than its factorization.

30053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 11.

The square root of 30053000 is about 5482.0616559831. The cubic root of 30053000 is about 310.9061244151.

Adding to 30053000 its reverse (35003), we get a palindrome (30088003).

The spelling of 30053000 in words is "thirty million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 733 820 1000 1025 1466 1640 2050 2932 3665 4100 5125 5864 7330 8200 10250 14660 18325 20500 29320 30053 36650 41000 60106 73300 91625 120212 146600 150265 183250 240424 300530 366500 601060 733000 751325 1202120 1502650 3005300 3756625 6010600 7513250 15026500 30053000