Search a number
-
+
30900980 = 2251121132
BaseRepresentation
bin111010111100…
…0001011110100
32011010221011202
41311320023310
530402312410
63022152032
7523440215
oct165701364
964127152
1030900980
1116496400
12a422618
13652c106
14416540c
152aa5ca5
hex1d782f4

30900980 has 54 divisors (see below), whose sum is σ = 71964438. Its totient is φ = 11137280.

The previous prime is 30900977. The next prime is 30900997. The reversal of 30900980 is 8900903.

It can be written as a sum of positive squares in 3 ways, for example, as 3254416 + 27646564 = 1804^2 + 5258^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 273404 + ... + 273516.

Almost surely, 230900980 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 30900980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35982219).

30900980 is an abundant number, since it is smaller than the sum of its proper divisors (41063458).

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

30900980 is a wasteful number, since it uses less digits than its factorization.

30900980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 30900980 is about 5558.8649920645. The cubic root of 30900980 is about 313.8032358887.

The spelling of 30900980 in words is "thirty million, nine hundred thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 121 220 226 242 452 484 565 605 1130 1210 1243 2260 2420 2486 4972 6215 12430 12769 13673 24860 25538 27346 51076 54692 63845 68365 127690 136730 140459 255380 273460 280918 561836 702295 1404590 1545049 2809180 3090098 6180196 7725245 15450490 30900980