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1135053432 = 233367107733
BaseRepresentation
bin100001110100111…
…1000101001111000
32221002210200121000
41003221320221320
54311033202212
6304344045000
740061536452
oct10351705170
92832720530
101135053432
11532787497
12278163760
13151204b66
14aaa652d2
15699ac1dc
hex43a78a78

1135053432 has 128 divisors (see below), whose sum is σ = 3234297600. Its totient is φ = 368717184.

The previous prime is 1135053397. The next prime is 1135053443. The reversal of 1135053432 is 2343505311.

1135053432 is a `hidden beast` number, since 113 + 505 + 3 + 43 + 2 = 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 = 1135053396 and 1135053405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1548138 + ... + 1548870.

It is an arithmetic number, because the mean of its divisors is an integer number (25267950).

Almost surely, 21135053432 is an apocalyptic number.

1135053432 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 1135053432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617148800).

1135053432 is an abundant number, since it is smaller than the sum of its proper divisors (2099244168).

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

1135053432 is a wasteful number, since it uses less digits than its factorization.

1135053432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

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

The square root of 1135053432 is about 33690.5540470916. The cubic root of 1135053432 is about 1043.1307998521.

Adding to 1135053432 its reverse (2343505311), we get a palindrome (3478558743).

The spelling of 1135053432 in words is "one billion, one hundred thirty-five million, fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 107 108 134 201 214 216 268 321 402 428 536 603 642 733 804 856 963 1206 1284 1466 1608 1809 1926 2199 2412 2568 2889 2932 3618 3852 4398 4824 5778 5864 6597 7169 7236 7704 8796 11556 13194 14338 14472 17592 19791 21507 23112 26388 28676 39582 43014 49111 52776 57352 64521 78431 79164 86028 98222 129042 147333 156862 158328 172056 193563 196444 235293 258084 294666 313724 387126 392888 441999 470586 516168 589332 627448 705879 774252 883998 941172 1178664 1325997 1411758 1548504 1767996 1882344 2117637 2651994 2823516 3535992 4235274 5254877 5303988 5647032 8470548 10509754 10607976 15764631 16941096 21019508 31529262 42039016 47293893 63058524 94587786 126117048 141881679 189175572 283763358 378351144 567526716 1135053432