Search a number
-
+
60030100 = 22521361757
BaseRepresentation
bin1110010011111…
…1110010010100
311011221211211001
43210333302110
5110331430400
65542353044
71326150604
oct344776224
9134854731
1060030100
1130981559
121812b784
13c58a890
147d88c04
15540ba6a
hex393fc94

60030100 has 72 divisors (see below), whose sum is σ = 142773848. Its totient is φ = 21772800.

The previous prime is 60030097. The next prime is 60030119. The reversal of 60030100 is 103006.

It can be written as a sum of positive squares in 12 ways, for example, as 40985604 + 19044496 = 6402^2 + 4364^2 .

It is a super-2 number, since 2×600301002 = 7207225812020000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 78922 + ... + 79678.

Almost surely, 260030100 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 60030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71386924).

60030100 is an abundant number, since it is smaller than the sum of its proper divisors (82743748).

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

60030100 is a wasteful number, since it uses less digits than its factorization.

60030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 60030100 is about 7747.9093954434. The cubic root of 60030100 is about 391.5522184594.

Adding to 60030100 its reverse (103006), we get a palindrome (60133106).

The spelling of 60030100 in words is "sixty million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 61 65 100 122 130 244 260 305 325 610 650 757 793 1220 1300 1514 1525 1586 3028 3050 3172 3785 3965 6100 7570 7930 9841 15140 15860 18925 19682 19825 37850 39364 39650 46177 49205 75700 79300 92354 98410 184708 196820 230885 246025 461770 492050 600301 923540 984100 1154425 1200602 2308850 2401204 3001505 4617700 6003010 12006020 15007525 30015050 60030100