Search a number
-
+
3578130 = 232583479
BaseRepresentation
bin1101101001100100010010
320201210021100
431221210102
51404000010
6204405230
742261603
oct15514422
96653240
103578130
112024336
121246816
1398384a
14691daa
154aa2c0
hex369912

3578130 has 48 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 940704.

The previous prime is 3578129. The next prime is 3578131. The reversal of 3578130 is 318753.

It is an interprime number because it is at equal distance from previous prime (3578129) and next prime (3578131).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3578094 and 3578103.

It is not an unprimeable number, because it can be changed into a prime (3578131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7231 + ... + 7709.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 23578130 is an apocalyptic number.

3578130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3578130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3578130 is an abundant number, since it is smaller than the sum of its proper divisors (5856750).

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

3578130 is a wasteful number, since it uses less digits than its factorization.

3578130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3578130 is about 1891.5945654394. The cubic root of 3578130 is about 152.9509005594.

The spelling of 3578130 in words is "three million, five hundred seventy-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 479 498 747 830 958 1245 1437 1494 2395 2490 2874 3735 4311 4790 7185 7470 8622 14370 21555 39757 43110 79514 119271 198785 238542 357813 397570 596355 715626 1192710 1789065 3578130