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135332040 = 23351127767
BaseRepresentation
bin10000001000100…
…00000011001000
3100102122120122210
420010100003020
5234121111130
621232345120
73232206024
oct1004200310
9312576583
10135332040
116a433a68
12393a51a0
132206473c
1413d8b384
15bd335b0
hex81100c8

135332040 has 32 divisors (see below), whose sum is σ = 405996480. Its totient is φ = 36088512.

The previous prime is 135332011. The next prime is 135332059. The reversal of 135332040 is 40233531.

It is a super-2 number, since 2×1353320402 = 36629522101123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135331998 and 135332016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 563764 + ... + 564003.

It is an arithmetic number, because the mean of its divisors is an integer number (12687390).

Almost surely, 2135332040 is an apocalyptic number.

135332040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135332040 is an abundant number, since it is smaller than the sum of its proper divisors (270664440).

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

135332040 is a wasteful number, since it uses less digits than its factorization.

135332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127781 (or 1127777 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 135332040 is about 11633.2299899899. The cubic root of 135332040 is about 513.4130177456.

Adding to 135332040 its reverse (40233531), we get a palindrome (175565571).

The spelling of 135332040 in words is "one hundred thirty-five million, three hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1127767 2255534 3383301 4511068 5638835 6766602 9022136 11277670 13533204 16916505 22555340 27066408 33833010 45110680 67666020 135332040