Search a number
-
+
135760470 = 23517312277
BaseRepresentation
bin10000001011110…
…00101001010110
3100110110100100120
420011320221112
5234223313340
621245452410
73235642056
oct1005705126
9313410316
10135760470
116a6a693a
1239571106
1322184751
141405d566
15bdba4d0
hex8178a56

135760470 has 96 divisors (see below), whose sum is σ = 357765984. Its totient is φ = 32855040.

The previous prime is 135760459. The next prime is 135760483. The reversal of 135760470 is 74067531.

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, 489972 + ... + 490248.

It is an arithmetic number, because the mean of its divisors is an integer number (3726729).

Almost surely, 2135760470 is an apocalyptic number.

135760470 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 135760470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178882992).

135760470 is an abundant number, since it is smaller than the sum of its proper divisors (222005514).

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

135760470 is a wasteful number, since it uses less digits than its factorization.

135760470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 135760470 is about 11651.6294997738. The cubic root of 135760470 is about 513.9542293975.

The spelling of 135760470 in words is "one hundred thirty-five million, seven hundred sixty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 277 310 465 510 527 554 831 930 961 1054 1385 1581 1662 1922 2635 2770 2883 3162 4155 4709 4805 5270 5766 7905 8310 8587 9418 9610 14127 14415 15810 16337 17174 23545 25761 28254 28830 32674 42935 47090 49011 51522 70635 81685 85870 98022 128805 141270 145979 163370 245055 257610 266197 291958 437937 490110 532394 729895 798591 875874 1330985 1459790 1597182 2189685 2661970 3992955 4379370 4525349 7985910 9050698 13576047 22626745 27152094 45253490 67880235 135760470