Search a number
-
+
135484832 = 2571747757
BaseRepresentation
bin10000001001101…
…01010110100000
3100102221100020202
420010311112200
5234141003312
621235524332
73233413340
oct1004652640
9312840222
10135484832
116a52883a
12394596a8
13220b9152
1413dcad20
15bd639c2
hex81355a0

135484832 has 96 divisors (see below), whose sum is σ = 330075648. Its totient is φ = 53415936.

The previous prime is 135484823. The next prime is 135484837. The reversal of 135484832 is 238484531.

It is a happy number.

It is a super-2 number, since 2×1354848322 = 36712279404136448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135484837) 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, 178598 + ... + 179354.

It is an arithmetic number, because the mean of its divisors is an integer number (3438288).

Almost surely, 2135484832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135484832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165037824).

135484832 is an abundant number, since it is smaller than the sum of its proper divisors (194590816).

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

135484832 is a wasteful number, since it uses less digits than its factorization.

135484832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 830 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 135484832 is about 11639.7951872015. The cubic root of 135484832 is about 513.6061621980.

It can be divided in two parts, 13 and 5484832, that added together give a palindrome (5484845).

The spelling of 135484832 in words is "one hundred thirty-five million, four hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 47 56 68 94 112 119 136 188 224 238 272 329 376 476 544 658 752 757 799 952 1316 1504 1514 1598 1904 2632 3028 3196 3808 5264 5299 5593 6056 6392 10528 10598 11186 12112 12784 12869 21196 22372 24224 25568 25738 35579 42392 44744 51476 71158 84784 89488 90083 102952 142316 169568 178976 180166 205904 249053 284632 360332 411808 498106 569264 604843 720664 996212 1138528 1209686 1441328 1992424 2419372 2882656 3984848 4233901 4838744 7969696 8467802 9677488 16935604 19354976 33871208 67742416 135484832