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135023910 = 23572312963
BaseRepresentation
bin10000000110001…
…00110100100110
3100102001220222120
420003010310212
5234031231120
621222010410
73226453500
oct1003046446
9312056876
10135023910
116a24350a
1239276a06
1321c87408
1413d0ad70
15bcc2140
hex80c4d26

135023910 has 96 divisors (see below), whose sum is σ = 389256192. Its totient is φ = 29856960.

The previous prime is 135023909. The next prime is 135023951. The reversal of 135023910 is 19320531.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44089 + ... + 47051.

It is an arithmetic number, because the mean of its divisors is an integer number (4054752).

Almost surely, 2135023910 is an apocalyptic number.

135023910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135023910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194628096).

135023910 is an abundant number, since it is smaller than the sum of its proper divisors (254232282).

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

135023910 is a wasteful number, since it uses less digits than its factorization.

135023910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 135023910 is about 11619.9789156435. The cubic root of 135023910 is about 513.0230677892.

The spelling of 135023910 in words is "one hundred thirty-five million, twenty-three thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 434 465 490 651 735 930 1085 1302 1470 1519 2170 2963 3038 3255 4557 5926 6510 7595 8889 9114 14815 15190 17778 20741 22785 29630 41482 44445 45570 62223 88890 91853 103705 124446 145187 183706 207410 275559 290374 311115 435561 459265 551118 622230 642971 725935 871122 918530 1285942 1377795 1451870 1928913 2177805 2755590 3214855 3857826 4355610 4500797 6429710 9001594 9644565 13502391 19289130 22503985 27004782 45007970 67511955 135023910