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135553041 = 3313261487
BaseRepresentation
bin10000001010001…
…10000000010001
3100110001210211000
420011012000101
5234200144131
621241212213
73234116241
oct1005060021
9313053730
10135553041
116a575008
1239491069
1322111200
1414007b21
15bd78ce6
hex8146011

135553041 has 48 divisors (see below), whose sum is σ = 221473920. Its totient is φ = 81881280.

The previous prime is 135553039. The next prime is 135553063. The reversal of 135553041 is 140355531.

135553041 is a `hidden beast` number, since 1 + 355 + 5 + 304 + 1 = 666.

It is not a de Polignac number, because 135553041 - 21 = 135553039 is a prime.

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 = 135552996 and 135553014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135553091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278100 + ... + 278586.

It is an arithmetic number, because the mean of its divisors is an integer number (4614040).

Almost surely, 2135553041 is an apocalyptic number.

It is an amenable number.

135553041 is a deficient number, since it is larger than the sum of its proper divisors (85920879).

135553041 is a wasteful number, since it uses less digits than its factorization.

135553041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 135553041 is about 11642.7248099403. The cubic root of 135553041 is about 513.6923383524.

The spelling of 135553041 in words is "one hundred thirty-five million, five hundred fifty-three thousand, forty-one".

Divisors: 1 3 9 13 27 39 61 117 169 183 351 487 507 549 793 1461 1521 1647 2379 4383 4563 6331 7137 10309 13149 18993 21411 29707 30927 56979 82303 89121 92781 170937 246909 267363 278343 386191 740727 802089 1158573 2222181 3475719 5020483 10427157 15061449 45184347 135553041