Search a number
-
+
1407140 = 225719232
BaseRepresentation
bin101010111100010100100
32122111020022
411113202210
5330012030
650054312
714650310
oct5274244
92574208
101407140
11881229
1257a398
133a3637
14288b40
151cbde5
hex1578a4

1407140 has 72 divisors (see below), whose sum is σ = 3716160. Its totient is φ = 437184.

The previous prime is 1407113. The next prime is 1407143. The reversal of 1407140 is 417041.

1407140 = T36 + T37 + ... + T203.

It is not an unprimeable number, because it can be changed into a prime (1407143) 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, 61169 + ... + 61191.

21407140 is an apocalyptic number.

1407140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858080).

1407140 is an abundant number, since it is smaller than the sum of its proper divisors (2309020).

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

1407140 is a wasteful number, since it uses less digits than its factorization.

1407140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 1407140 is about 1186.2293201569. The cubic root of 1407140 is about 112.0587489401.

Subtracting from 1407140 its reverse (417041), we obtain a palindrome (990099).

The spelling of 1407140 in words is "one million, four hundred seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 23 28 35 38 46 70 76 92 95 115 133 140 161 190 230 266 322 380 437 460 529 532 644 665 805 874 1058 1330 1610 1748 2116 2185 2645 2660 3059 3220 3703 4370 5290 6118 7406 8740 10051 10580 12236 14812 15295 18515 20102 30590 37030 40204 50255 61180 70357 74060 100510 140714 201020 281428 351785 703570 1407140