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135505020 = 22357322631
BaseRepresentation
bin10000001001110…
…10010001111100
3100102222100221110
420010322101330
5234142130040
621240202020
73233526240
oct1004722174
9312870843
10135505020
116a541a22
1239469310
13220c53b1
1413dd4420
15bd69980
hex813a47c

135505020 has 48 divisors (see below), whose sum is σ = 433617408. Its totient is φ = 30972480.

The previous prime is 135505001. The next prime is 135505031. The reversal of 135505020 is 20505531.

135505020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1355050202 = 36723220890400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160896 + ... + 161735.

It is an arithmetic number, because the mean of its divisors is an integer number (9033696).

Almost surely, 2135505020 is an apocalyptic number.

135505020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135505020 is an abundant number, since it is smaller than the sum of its proper divisors (298112388).

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

135505020 is a wasteful number, since it uses less digits than its factorization.

135505020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322650 (or 322648 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 135505020 is about 11640.6623522891. The cubic root of 135505020 is about 513.6316709975.

The spelling of 135505020 in words is "one hundred thirty-five million, five hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 322631 645262 967893 1290524 1613155 1935786 2258417 3226310 3871572 4516834 4839465 6452620 6775251 9033668 9678930 11292085 13550502 19357860 22584170 27101004 33876255 45168340 67752510 135505020