Search a number
-
+
135483888 = 24331831097
BaseRepresentation
bin10000001001101…
…01000111110000
3100102221021221210
420010311013300
5234140441023
621235520120
73233410521
oct1004650760
9312837853
10135483888
116a528061
1239459040
13220b88a7
1413dca848
15bd63593
hex81351f0

135483888 has 80 divisors (see below), whose sum is σ = 365976576. Its totient is φ = 43138560.

The previous prime is 135483797. The next prime is 135483913. The reversal of 135483888 is 888384531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122956 + ... + 124052.

Almost surely, 2135483888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135483888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988288).

135483888 is an abundant number, since it is smaller than the sum of its proper divisors (230492688).

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

135483888 is a wasteful number, since it uses less digits than its factorization.

135483888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 135483888 is about 11639.7546365892. The cubic root of 135483888 is about 513.6049693330.

The spelling of 135483888 in words is "one hundred thirty-five million, four hundred eighty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 83 93 124 166 186 248 249 332 372 496 498 664 744 996 1097 1328 1488 1992 2194 2573 3291 3984 4388 5146 6582 7719 8776 10292 13164 15438 17552 20584 26328 30876 34007 41168 52656 61752 68014 91051 102021 123504 136028 182102 204042 272056 273153 364204 408084 544112 546306 728408 816168 1092612 1456816 1632336 2185224 2822581 4370448 5645162 8467743 11290324 16935486 22580648 33870972 45161296 67741944 135483888