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2427930 = 232553509
BaseRepresentation
bin1001010000110000011010
311120100111100
421100300122
51110143210
6124012230
726431341
oct11206032
94510440
102427930
11140915a
12991076
1367015b
14472b58
1532e5c0
hex250c1a

2427930 has 48 divisors (see below), whose sum is σ = 6444360. Its totient is φ = 633984.

The previous prime is 2427911. The next prime is 2427947. The reversal of 2427930 is 397242.

It can be written as a sum of positive squares in 4 ways, for example, as 2350089 + 77841 = 1533^2 + 279^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2427894 and 2427903.

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, 4516 + ... + 5024.

22427930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2427930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222180).

2427930 is an abundant number, since it is smaller than the sum of its proper divisors (4016430).

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

2427930 is a wasteful number, since it uses less digits than its factorization.

2427930 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 3024, while the sum is 27.

The square root of 2427930 is about 1558.1816325448. The cubic root of 2427930 is about 134.4039566225.

The spelling of 2427930 in words is "two million, four hundred twenty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 509 530 795 954 1018 1527 1590 2385 2545 3054 4581 4770 5090 7635 9162 15270 22905 26977 45810 53954 80931 134885 161862 242793 269770 404655 485586 809310 1213965 2427930