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1357952 = 271032
BaseRepresentation
bin101001011100010000000
32112222202112
411023202000
5321423302
645034452
714354021
oct5134200
92488675
101357952
11848282
12555a28
1338712b
14274c48
151bc552
hex14b880

1357952 has 24 divisors (see below), whose sum is σ = 2731815. Its totient is φ = 672384.

The previous prime is 1357927. The next prime is 1357969. The reversal of 1357952 is 2597531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 678976 + 678976 = 824^2 + 824^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=824.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

Its product of digits (9450) is a multiple of the sum of its prime divisors (105).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13133 + ... + 13235.

21357952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357952

1357952 is an abundant number, since it is smaller than the sum of its proper divisors (1373863).

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

1357952 is an frugal number, since it uses more digits than its factorization.

1357952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 105 counting only the distinct ones).

The product of its digits is 9450, while the sum is 32.

The square root of 1357952 is about 1165.3119753954. The cubic root of 1357952 is about 110.7375233717.

Multiplying 1357952 by its sum of digits (32), we get a square (43454464 = 65922).

1357952 divided by its sum of digits (32) gives a square (42436 = 2062).

It can be divided in two parts, 13579 and 52, that added together give a palindrome (13631).

The spelling of 1357952 in words is "one million, three hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 824 1648 3296 6592 10609 13184 21218 42436 84872 169744 339488 678976 1357952