Search a number
-
+
135402432 = 26311611051
BaseRepresentation
bin10000001001000…
…01001111000000
3100102210011012220
420010201033000
5234130334212
621234051040
73232621164
oct1004411700
9312704186
10135402432
116a481940
1239419a80
132208a7a9
1413da8ca4
15bd4938c
hex81213c0

135402432 has 112 divisors (see below), whose sum is σ = 397605504. Its totient is φ = 40320000.

The previous prime is 135402419. The next prime is 135402437. The reversal of 135402432 is 234204531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135402437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128307 + ... + 129357.

Almost surely, 2135402432 is an apocalyptic number.

135402432 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 135402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198802752).

135402432 is an abundant number, since it is smaller than the sum of its proper divisors (262203072).

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

135402432 is a wasteful number, since it uses less digits than its factorization.

135402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 135402432 is about 11636.2550676753. The cubic root of 135402432 is about 513.5020183620.

Adding to 135402432 its reverse (234204531), we get a palindrome (369606963).

The spelling of 135402432 in words is "one hundred thirty-five million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 132 176 183 192 244 264 352 366 488 528 671 704 732 976 1051 1056 1342 1464 1952 2013 2102 2112 2684 2928 3153 3904 4026 4204 5368 5856 6306 8052 8408 10736 11561 11712 12612 16104 16816 21472 23122 25224 32208 33632 34683 42944 46244 50448 64111 64416 67264 69366 92488 100896 128222 128832 138732 184976 192333 201792 256444 277464 369952 384666 512888 554928 705221 739904 769332 1025776 1109856 1410442 1538664 2051552 2115663 2219712 2820884 3077328 4103104 4231326 5641768 6154656 8462652 11283536 12309312 16925304 22567072 33850608 45134144 67701216 135402432