Search a number
-
+
30759366 = 23111921291
BaseRepresentation
bin111010101010…
…1100111000110
32010212201220210
41311111213012
530333244431
63015140250
7522310311
oct165254706
963781823
1030759366
11163a9a70
12a374686
1364ac811
144129978
152a78d46
hex1d559c6

30759366 has 48 divisors (see below), whose sum is σ = 70884288. Its totient is φ = 8823600.

The previous prime is 30759359. The next prime is 30759373. The reversal of 30759366 is 66395703.

It is an interprime number because it is at equal distance from previous prime (30759359) and next prime (30759373).

It is a super-2 number, since 2×307593662 = 1892277193443912, which contains 22 as substring.

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, 23181 + ... + 24471.

It is an arithmetic number, because the mean of its divisors is an integer number (1476756).

Almost surely, 230759366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30759366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35442144).

30759366 is an abundant number, since it is smaller than the sum of its proper divisors (40124922).

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

30759366 is a wasteful number, since it uses less digits than its factorization.

30759366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The square root of 30759366 is about 5546.1126926885. The cubic root of 30759366 is about 313.3231325586.

It can be divided in two parts, 3075936 and 6, that multiplied together give a square (18455616 = 42962).

The spelling of 30759366 in words is "thirty million, seven hundred fifty-nine thousand, three hundred sixty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 361 418 627 722 1083 1254 1291 2166 2582 3873 3971 7746 7942 11913 14201 23826 24529 28402 42603 49058 73587 85206 147174 269819 466051 539638 809457 932102 1398153 1618914 2796306 5126561 10253122 15379683 30759366