Search a number
-
+
135419232 = 25313195711
BaseRepresentation
bin10000001001001…
…01010101100000
3100102211000021010
420010211111200
5234131403412
621234300520
73233021154
oct1004452540
9312730233
10135419232
116a493523
1239427740
1322095330
1413db1064
15bd4e33c
hex8125560

135419232 has 96 divisors (see below), whose sum is σ = 403038720. Its totient is φ = 39467520.

The previous prime is 135419227. The next prime is 135419233. The reversal of 135419232 is 232914531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 135419232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135419233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20857 + ... + 26567.

It is an arithmetic number, because the mean of its divisors is an integer number (4198320).

Almost surely, 2135419232 is an apocalyptic number.

135419232 is a gapful number since it is divisible by the number (12) 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 135419232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201519360).

135419232 is an abundant number, since it is smaller than the sum of its proper divisors (267619488).

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

135419232 is a wasteful number, since it uses less digits than its factorization.

135419232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5748 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 135419232 is about 11636.9769270202. The cubic root of 135419232 is about 513.5232549996.

The spelling of 135419232 in words is "one hundred thirty-five million, four hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5711 5928 7904 11422 11856 17133 22844 23712 34266 45688 68532 74243 91376 108509 137064 148486 182752 217018 222729 274128 296972 325527 434036 445458 548256 593944 651054 868072 890916 1187888 1302108 1410617 1736144 1781832 2375776 2604216 2821234 3472288 3563664 4231851 5208432 5642468 7127328 8463702 10416864 11284936 16927404 22569872 33854808 45139744 67709616 135419232