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1395520 = 2657289
BaseRepresentation
bin101010100101101000000
32121220021221
411110231000
5324124040
645524424
714601400
oct5245500
92556257
101395520
11873525
12573714
1339b269
14284800
151c874a
hex154b40

1395520 has 84 divisors (see below), whose sum is σ = 3909060. Its totient is φ = 473088.

The previous prime is 1395491. The next prime is 1395523. The reversal of 1395520 is 255931.

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 1016064 = 616^2 + 1008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15636 + ... + 15724.

21395520 is an apocalyptic number.

1395520 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 1395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954530).

1395520 is an abundant number, since it is smaller than the sum of its proper divisors (2513540).

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

1395520 is an equidigital number, since it uses as much as digits as its factorization.

1395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 1395520 is about 1181.3212941448. The cubic root of 1395520 is about 111.7494398789.

The spelling of 1395520 in words is "one million, three hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 89 98 112 140 160 178 196 224 245 280 320 356 392 445 448 490 560 623 712 784 890 980 1120 1246 1424 1568 1780 1960 2240 2492 2848 3115 3136 3560 3920 4361 4984 5696 6230 7120 7840 8722 9968 12460 14240 15680 17444 19936 21805 24920 28480 34888 39872 43610 49840 69776 87220 99680 139552 174440 199360 279104 348880 697760 1395520