Search a number
-
+
135905860 = 225193183139
BaseRepresentation
bin10000001100111…
…00001001000100
3100110201201210101
420012130021010
5234242441420
621252533444
73240115666
oct1006341104
9313651711
10135905860
116a7960a2
1239621284
132220598c
141409a536
15bde860a
hex819c244

135905860 has 96 divisors (see below), whose sum is σ = 316108800. Its totient is φ = 48885120.

The previous prime is 135905839. The next prime is 135905863. The reversal of 135905860 is 68509531.

It is not an unprimeable number, because it can be changed into a prime (135905863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977671 + ... + 977809.

It is an arithmetic number, because the mean of its divisors is an integer number (3292800).

Almost surely, 2135905860 is an apocalyptic number.

135905860 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 135905860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158054400).

135905860 is an abundant number, since it is smaller than the sum of its proper divisors (180202940).

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

135905860 is a wasteful number, since it uses less digits than its factorization.

135905860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 135905860 is about 11657.8668717738. The cubic root of 135905860 is about 514.1376336599.

The spelling of 135905860 in words is "one hundred thirty-five million, nine hundred five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 83 95 124 139 155 166 190 278 310 332 380 415 556 589 620 695 830 1178 1390 1577 1660 2356 2573 2641 2780 2945 3154 4309 5146 5282 5890 6308 7885 8618 10292 10564 11537 11780 12865 13205 15770 17236 21545 23074 25730 26410 31540 43090 46148 48887 51460 52820 57685 81871 86180 97774 115370 163742 195548 219203 230740 244435 327484 357647 409355 438406 488870 715294 818710 876812 977740 1096015 1430588 1637420 1788235 2192030 3576470 4384060 6795293 7152940 13590586 27181172 33976465 67952930 135905860