[go: up one dir, main page]

Search a number
-
+
30140032 = 271359307
BaseRepresentation
bin111001011111…
…0011010000000
32002201021100111
41302332122000
530203440112
62554001104
7514120546
oct162763200
962637314
1030140032
111601671a
12a116194
136323950
144007d96
1529a55a7
hex1cbe680

30140032 has 64 divisors (see below), whose sum is σ = 65973600. Its totient is φ = 13630464.

The previous prime is 30139999. The next prime is 30140041. The reversal of 30140032 is 23004103.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×301400322 = 1816843057922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 30139994 and 30140021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98023 + ... + 98329.

Almost surely, 230140032 is an apocalyptic number.

30140032 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 30140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32986800).

30140032 is an abundant number, since it is smaller than the sum of its proper divisors (35833568).

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

30140032 is a wasteful number, since it uses less digits than its factorization.

30140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 30140032 is about 5489.9938069182. The cubic root of 30140032 is about 311.2059580808.

Adding to 30140032 its reverse (23004103), we get a palindrome (53144135).

The spelling of 30140032 in words is "thirty million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 128 208 236 307 416 472 614 767 832 944 1228 1534 1664 1888 2456 3068 3776 3991 4912 6136 7552 7982 9824 12272 15964 18113 19648 24544 31928 36226 39296 49088 63856 72452 98176 127712 144904 235469 255424 289808 470938 510848 579616 941876 1159232 1883752 2318464 3767504 7535008 15070016 30140032