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135872660 = 225711831063
BaseRepresentation
bin10000001100101…
…00000010010100
3100110200001020202
420012110002110
5234240411120
621252120032
73236620130
oct1006240224
9313601222
10135872660
116a773160
1239606018
13221c3831
141408c3c0
15bddd875
hex8194094

135872660 has 96 divisors (see below), whose sum is σ = 360364032. Its totient is φ = 41800320.

The previous prime is 135872657. The next prime is 135872683. The reversal of 135872660 is 66278531.

It is a super-2 number, since 2×1358726602 = 36922759470951200, which contains 22 as substring.

It is a congruent number.

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, 127289 + ... + 128351.

It is an arithmetic number, because the mean of its divisors is an integer number (3753792).

Almost surely, 2135872660 is an apocalyptic number.

135872660 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 135872660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180182016).

135872660 is an abundant number, since it is smaller than the sum of its proper divisors (224491372).

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

135872660 is a wasteful number, since it uses less digits than its factorization.

135872660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 135872660 is about 11656.4428536325. The cubic root of 135872660 is about 514.0957645809.

The spelling of 135872660 in words is "one hundred thirty-five million, eight hundred seventy-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 83 110 140 154 166 220 308 332 385 415 581 770 830 913 1063 1162 1540 1660 1826 2126 2324 2905 3652 4252 4565 5315 5810 6391 7441 9130 10630 11620 11693 12782 14882 18260 21260 23386 25564 29764 31955 37205 46772 58465 63910 74410 81851 88229 116930 127820 148820 163702 176458 233860 327404 352916 409255 441145 617603 818510 882290 970519 1235206 1637020 1764580 1941038 2470412 3088015 3882076 4852595 6176030 6793633 9705190 12352060 13587266 19410380 27174532 33968165 67936330 135872660