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135503424 = 2632724801
BaseRepresentation
bin10000001001110…
…01111001000000
3100102222021202100
420010321321000
5234142102144
621240150400
73233521500
oct1004717100
9312867670
10135503424
116a540801
1239468400
13220c4754
1413dd3a00
15bd69269
hex8139e40

135503424 has 126 divisors (see below), whose sum is σ = 451901814. Its totient is φ = 38707200.

The previous prime is 135503411. The next prime is 135503437. The reversal of 135503424 is 424305531.

135503424 is a `hidden beast` number, since 135 + 503 + 4 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (135503411) and next prime (135503437).

It can be written as a sum of positive squares in only one way, i.e., 119246400 + 16257024 = 10920^2 + 4032^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×1355034242 = 36722355831447552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25824 + ... + 30624.

Almost surely, 2135503424 is an apocalyptic number.

135503424 is a gapful number since it is divisible by the number (14) 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 135503424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225950907).

135503424 is an abundant number, since it is smaller than the sum of its proper divisors (316398390).

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

135503424 is a wasteful number, since it uses less digits than its factorization.

135503424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 135503424 is about 11640.5937992870. The cubic root of 135503424 is about 513.6296544441.

Adding to 135503424 its reverse (424305531), we get a palindrome (559808955).

The spelling of 135503424 in words is "one hundred thirty-five million, five hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 4801 7056 9408 9602 14112 14403 19204 28224 28806 33607 38408 43209 57612 67214 76816 86418 100821 115224 134428 153632 172836 201642 230448 235249 268856 302463 307264 345672 403284 460896 470498 537712 604926 691344 705747 806568 921792 940996 1075424 1209852 1382688 1411494 1613136 1881992 2117241 2150848 2419704 2765376 2822988 3226272 3763984 4234482 4839408 5645976 6452544 7527968 8468964 9678816 11291952 15055936 16937928 19357632 22583904 33875856 45167808 67751712 135503424