Search a number
-
+
1335150432 = 253372114761
BaseRepresentation
bin100111110010100…
…1100011101100000
310110001022200002000
41033211030131200
510213244303212
6340252524000
745041406600
oct11745143540
93401280060
101335150432
11625726310
12313180600
131837c4355
14c9470c00
157c3351dc
hex4f94c760

1335150432 has 576 divisors, whose sum is σ = 5129671680. Its totient is φ = 333849600.

The previous prime is 1335150413. The next prime is 1335150497. The reversal of 1335150432 is 2340515331.

1335150432 is a `hidden beast` number, since 133 + 51 + 50 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1335150396 and 1335150405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21887682 + ... + 21887742.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 21335150432 is an apocalyptic number.

1335150432 is a gapful number since it is divisible by the number (12) 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 1335150432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564835840).

1335150432 is an abundant number, since it is smaller than the sum of its proper divisors (3794521248).

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

1335150432 is a wasteful number, since it uses less digits than its factorization.

1335150432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1335150432 is about 36539.7103436795. The cubic root of 1335150432 is about 1101.1421833022.

Adding to 1335150432 its reverse (2340515331), we get a palindrome (3675665763).

The spelling of 1335150432 in words is "one billion, three hundred thirty-five million, one hundred fifty thousand, four hundred thirty-two".