[go: up one dir, main page]

Search a number
-
+
30606112 = 251971709
BaseRepresentation
bin111010011000…
…0001100100000
32010120221200201
41310300030200
530313343422
63011554544
7521101435
oct164601440
963527621
1030606112
1116304909
12a2bba54
136457b34
1440c9b8c
152a48727
hex1d30320

30606112 has 48 divisors (see below), whose sum is σ = 64411200. Its totient is φ = 14273280.

The previous prime is 30606109. The next prime is 30606113. The reversal of 30606112 is 21160603.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 30606112.

It is not an unprimeable number, because it can be changed into a prime (30606113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42814 + ... + 43522.

It is an arithmetic number, because the mean of its divisors is an integer number (1341900).

Almost surely, 230606112 is an apocalyptic number.

30606112 is a gapful number since it is divisible by the number (32) 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 30606112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32205600).

30606112 is an abundant number, since it is smaller than the sum of its proper divisors (33805088).

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

30606112 is a wasteful number, since it uses less digits than its factorization.

30606112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 30606112 is about 5532.2790963580. The cubic root of 30606112 is about 312.8019038657.

Adding to 30606112 its reverse (21160603), we get a palindrome (51766715).

The spelling of 30606112 in words is "thirty million, six hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 71 76 142 152 284 304 568 608 709 1136 1349 1418 2272 2698 2836 5396 5672 10792 11344 13471 21584 22688 26942 43168 50339 53884 100678 107768 201356 215536 402712 431072 805424 956441 1610848 1912882 3825764 7651528 15303056 30606112