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135266340 = 223511311659
BaseRepresentation
bin10000001000000…
…00000000100100
3100102112020112110
420010000000210
5234112010330
621231121020
73231513336
oct1004000044
9312466473
10135266340
116a399670
1239373170
1322040871
1413d71456
15bd1ddb0
hex8100024

135266340 has 96 divisors (see below), whose sum is σ = 415134720. Its totient is φ = 32636800.

The previous prime is 135266323. The next prime is 135266357. The reversal of 135266340 is 43662531.

It is an interprime number because it is at equal distance from previous prime (135266323) and next prime (135266357).

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

It is a junction number, because it is equal to n+sod(n) for n = 135266298 and 135266307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204931 + ... + 205589.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2135266340 is an apocalyptic number.

135266340 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 135266340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

135266340 is an abundant number, since it is smaller than the sum of its proper divisors (279868380).

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

135266340 is a wasteful number, since it uses less digits than its factorization.

135266340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 135266340 is about 11630.4058398665. The cubic root of 135266340 is about 513.3299216430.

The spelling of 135266340 in words is "one hundred thirty-five million, two hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 311 330 622 659 660 933 1244 1318 1555 1866 1977 2636 3110 3295 3421 3732 3954 4665 6220 6590 6842 7249 7908 9330 9885 10263 13180 13684 14498 17105 18660 19770 20526 21747 28996 34210 36245 39540 41052 43494 51315 68420 72490 86988 102630 108735 144980 204949 205260 217470 409898 434940 614847 819796 1024745 1229694 2049490 2254439 2459388 3074235 4098980 4508878 6148470 6763317 9017756 11272195 12296940 13526634 22544390 27053268 33816585 45088780 67633170 135266340