Search a number
-
+
135489480 = 233571011597
BaseRepresentation
bin10000001001101…
…10011111001000
3100102221120121220
420010312133020
5234141130410
621240002040
73233433030
oct1004663710
9312846556
10135489480
116a531285
1239460320
13220bb2b9
1413dcc8c0
15bd65070
hex81367c8

135489480 has 128 divisors (see below), whose sum is σ = 469428480. Its totient is φ = 30643200.

The previous prime is 135489469. The next prime is 135489491. The reversal of 135489480 is 84984531.

It is an interprime number because it is at equal distance from previous prime (135489469) and next prime (135489491).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 84042 + ... + 85638.

It is an arithmetic number, because the mean of its divisors is an integer number (3667410).

Almost surely, 2135489480 is an apocalyptic number.

135489480 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 135489480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234714240).

135489480 is an abundant number, since it is smaller than the sum of its proper divisors (333939000).

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

135489480 is a wasteful number, since it uses less digits than its factorization.

135489480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 135489480 is about 11639.9948453597. The cubic root of 135489480 is about 513.6120354610.

The spelling of 135489480 in words is "one hundred thirty-five million, four hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 101 105 120 140 168 202 210 280 303 404 420 505 606 707 808 840 1010 1212 1414 1515 1597 2020 2121 2424 2828 3030 3194 3535 4040 4242 4791 5656 6060 6388 7070 7985 8484 9582 10605 11179 12120 12776 14140 15970 16968 19164 21210 22358 23955 28280 31940 33537 38328 42420 44716 47910 55895 63880 67074 84840 89432 95820 111790 134148 161297 167685 191640 223580 268296 322594 335370 447160 483891 645188 670740 806485 967782 1129079 1290376 1341480 1612970 1935564 2258158 2419455 3225940 3387237 3871128 4516316 4838910 5645395 6451880 6774474 9032632 9677820 11290790 13548948 16936185 19355640 22581580 27097896 33872370 45163160 67744740 135489480