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135575220 = 223511205417
BaseRepresentation
bin10000001010010…
…11011010110100
3100110002221020110
420011023122310
5234201401340
621241503020
73234241014
oct1005133264
9313087213
10135575220
116a58a740
12394a1a70
132211b331
1414011c44
15bd80680
hex814b6b4

135575220 has 48 divisors (see below), whose sum is σ = 414122688. Its totient is φ = 32866560.

The previous prime is 135575189. The next prime is 135575227. The reversal of 135575220 is 22575531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135575227) 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, 102049 + ... + 103368.

It is an arithmetic number, because the mean of its divisors is an integer number (8627556).

Almost surely, 2135575220 is an apocalyptic number.

135575220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135575220 is an abundant number, since it is smaller than the sum of its proper divisors (278547468).

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

135575220 is a wasteful number, since it uses less digits than its factorization.

135575220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205440 (or 205438 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 135575220 is about 11643.6772542011. The cubic root of 135575220 is about 513.7203533665.

The spelling of 135575220 in words is "one hundred thirty-five million, five hundred seventy-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 205417 410834 616251 821668 1027085 1232502 2054170 2259587 2465004 3081255 4108340 4519174 6162510 6778761 9038348 11297935 12325020 13557522 22595870 27115044 33893805 45191740 67787610 135575220