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1352541040 = 24516906763
BaseRepresentation
bin101000010011110…
…0010001101110000
310111021001012111121
41100213202031300
510232222303130
6342113352024
745342260224
oct12047421560
93437035447
101352541040
11634524114
12318b68614
131872a2b56
14cb8ba784
157db1cd7a
hex509e2370

1352541040 has 20 divisors (see below), whose sum is σ = 3144658104. Its totient is φ = 541016384.

The previous prime is 1352541037. The next prime is 1352541041. The reversal of 1352541040 is 401452531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1352540996 and 1352541014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352541041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8453302 + ... + 8453461.

Almost surely, 21352541040 is an apocalyptic number.

1352541040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352541040 is an abundant number, since it is smaller than the sum of its proper divisors (1792117064).

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

1352541040 is a wasteful number, since it uses less digits than its factorization.

1352541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16906776 (or 16906770 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1352541040 is about 36776.9090598979. The cubic root of 1352541040 is about 1105.9024424891.

Adding to 1352541040 its reverse (401452531), we get a palindrome (1753993571).

The spelling of 1352541040 in words is "one billion, three hundred fifty-two million, five hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16906763 33813526 67627052 84533815 135254104 169067630 270508208 338135260 676270520 1352541040