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1395700 = 225217821
BaseRepresentation
bin101010100101111110100
32121220112121
411110233310
5324130300
645525324
714602045
oct5245764
92556477
101395700
11873679
12573844
1339b377
142848cc
151c881a
hex154bf4

1395700 has 36 divisors (see below), whose sum is σ = 3210732. Its totient is φ = 524800.

The previous prime is 1395697. The next prime is 1395739. The reversal of 1395700 is 75931.

It can be written as a sum of positive squares in 6 ways, for example, as 17424 + 1378276 = 132^2 + 1174^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1290 + ... + 2110.

It is an arithmetic number, because the mean of its divisors is an integer number (89187).

21395700 is an apocalyptic number.

1395700 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 1395700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605366).

1395700 is an abundant number, since it is smaller than the sum of its proper divisors (1815032).

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

1395700 is a wasteful number, since it uses less digits than its factorization.

1395700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 1395700 is about 1181.3974775663. The cubic root of 1395700 is about 111.7542443089.

The spelling of 1395700 in words is "one million, three hundred ninety-five thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 821 850 1642 1700 3284 4105 8210 13957 16420 20525 27914 41050 55828 69785 82100 139570 279140 348925 697850 1395700