Search a number
-
+
1395480 = 233529401
BaseRepresentation
bin101010100101100011000
32121220020110
411110230120
5324123410
645524320
714601312
oct5245430
92556213
101395480
11873499
125736a0
1339b238
142847b2
151c8720
hex154b18

1395480 has 64 divisors (see below), whose sum is σ = 4341600. Its totient is φ = 358400.

The previous prime is 1395469. The next prime is 1395481. The reversal of 1395480 is 845931.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3280 + ... + 3680.

21395480 is an apocalyptic number.

1395480 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 1395480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170800).

1395480 is an abundant number, since it is smaller than the sum of its proper divisors (2946120).

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

1395480 is a wasteful number, since it uses less digits than its factorization.

1395480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1395480 is about 1181.3043638284. The cubic root of 1395480 is about 111.7483721717.

The spelling of 1395480 in words is "one million, three hundred ninety-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 401 435 580 696 802 870 1160 1203 1604 1740 2005 2406 3208 3480 4010 4812 6015 8020 9624 11629 12030 16040 23258 24060 34887 46516 48120 58145 69774 93032 116290 139548 174435 232580 279096 348870 465160 697740 1395480