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1335152440 = 235229145759
BaseRepresentation
bin100111110010100…
…1100111100111000
310110001022202211101
41033211030330320
510213244334230
6340252541144
745041415466
oct11745147470
93401282741
101335152440
11625727876
123131817b4
131837c523b
14c9471836
157c335aca
hex4f94cf38

1335152440 has 32 divisors (see below), whose sum is σ = 3017232000. Its totient is φ = 531725184.

The previous prime is 1335152347. The next prime is 1335152447. The reversal of 1335152440 is 442515331.

It is a junction number, because it is equal to n+sod(n) for n = 1335152399 and 1335152408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335152447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63720 + ... + 82039.

It is an arithmetic number, because the mean of its divisors is an integer number (94288500).

Almost surely, 21335152440 is an apocalyptic number.

1335152440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1335152440 is an abundant number, since it is smaller than the sum of its proper divisors (1682079560).

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

1335152440 is a wasteful number, since it uses less digits than its factorization.

1335152440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145999 (or 145995 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1335152440 is about 36539.7378206248. The cubic root of 1335152440 is about 1101.1427353230.

Adding to 1335152440 its reverse (442515331), we get a palindrome (1777667771).

The spelling of 1335152440 in words is "one billion, three hundred thirty-five million, one hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 229 458 916 1145 1832 2290 4580 9160 145759 291518 583036 728795 1166072 1457590 2915180 5830360 33378811 66757622 133515244 166894055 267030488 333788110 667576220 1335152440