Search a number
-
+
30685872 = 2437271337
BaseRepresentation
bin111010100001…
…1101010110000
32010202000002210
41311003222300
530323421442
63013412120
7521553120
oct165035260
963660083
1030685872
1116359828
12a33a040
136485229
14410ac80
152a6219c
hex1d43ab0

30685872 has 80 divisors (see below), whose sum is σ = 91200512. Its totient is φ = 8709120.

The previous prime is 30685871. The next prime is 30685873. The reversal of 30685872 is 27858603.

It is an interprime number because it is at equal distance from previous prime (30685871) and next prime (30685873).

It is a self number, because there is not a number n which added to its sum of digits gives 30685872.

It is not an unprimeable number, because it can be changed into a prime (30685871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90888 + ... + 91224.

Almost surely, 230685872 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 30685872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45600256).

30685872 is an abundant number, since it is smaller than the sum of its proper divisors (60514640).

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

30685872 is a wasteful number, since it uses less digits than its factorization.

30685872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 30685872 is about 5539.4830083682. The cubic root of 30685872 is about 313.0733903650.

The spelling of 30685872 in words is "thirty million, six hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 271 336 337 542 674 813 1011 1084 1348 1626 1897 2022 2168 2359 2696 3252 3794 4044 4336 4718 5392 5691 6504 7077 7588 8088 9436 11382 13008 14154 15176 16176 18872 22764 28308 30352 37744 45528 56616 91056 91327 113232 182654 273981 365308 547962 639289 730616 1095924 1278578 1461232 1917867 2191848 2557156 3835734 4383696 5114312 7671468 10228624 15342936 30685872