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135027020 = 225231092693
BaseRepresentation
bin10000000110001…
…01100101001100
3100102002002020202
420003011211030
5234031331040
621222033032
73226465532
oct1003054514
9312062222
10135027020
116a245887
1239278778
1321c8895b
1413d0c152
15bcc3015
hex80c594c

135027020 has 48 divisors (see below), whose sum is σ = 298710720. Its totient is φ = 51169536.

The previous prime is 135027017. The next prime is 135027031. The reversal of 135027020 is 20720531.

It is a super-2 number, since 2×1350270202 = 36464592260160800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 135026983 and 135027001.

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, 48794 + ... + 51486.

It is an arithmetic number, because the mean of its divisors is an integer number (6223140).

Almost surely, 2135027020 is an apocalyptic number.

135027020 is a gapful number since it is divisible by the number (10) 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 135027020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149355360).

135027020 is an abundant number, since it is smaller than the sum of its proper divisors (163683700).

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

135027020 is a wasteful number, since it uses less digits than its factorization.

135027020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 135027020 is about 11620.1127361141. The cubic root of 135027020 is about 513.0270065718.

Adding to 135027020 its reverse (20720531), we get a palindrome (155747551).

The spelling of 135027020 in words is "one hundred thirty-five million, twenty-seven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 109 115 218 230 436 460 545 1090 2180 2507 2693 5014 5386 10028 10772 12535 13465 25070 26930 50140 53860 61939 123878 247756 293537 309695 587074 619390 1174148 1238780 1467685 2935370 5870740 6751351 13502702 27005404 33756755 67513510 135027020