Search a number
-
+
134752032 = 2533236781
BaseRepresentation
bin10000000100000…
…10011100100000
3100101120010001000
420002002130200
5233444031112
621212112000
73224242032
oct1002023440
9311503030
10134752032
116a078218
1239165600
1321bc073c
1413c79c52
15bc6b7dc
hex8082720

134752032 has 96 divisors (see below), whose sum is σ = 410175360. Its totient is φ = 42958080.

The previous prime is 134752027. The next prime is 134752043. The reversal of 134752032 is 230257431.

134752032 is a `hidden beast` number, since 134 + 7 + 520 + 3 + 2 = 666.

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

It is a super-2 number, since 2×1347520322 = 36316220256258048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 134751987 and 134752005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16482 + ... + 23262.

It is an arithmetic number, because the mean of its divisors is an integer number (4272660).

Almost surely, 2134752032 is an apocalyptic number.

134752032 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 134752032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205087680).

134752032 is an abundant number, since it is smaller than the sum of its proper divisors (275423328).

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

134752032 is a wasteful number, since it uses less digits than its factorization.

134752032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 134752032 is about 11608.2742903500. The cubic root of 134752032 is about 512.6785031188.

The spelling of 134752032 in words is "one hundred thirty-four million, seven hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 6781 9936 13562 19872 20343 27124 40686 54248 61029 81372 108496 122058 155963 162744 183087 216992 244116 311926 325488 366174 467889 488232 623852 650976 732348 935778 976464 1247704 1403667 1464696 1871556 1952928 2495408 2807334 2929392 3743112 4211001 4990816 5614668 5858784 7486224 8422002 11229336 14972448 16844004 22458672 33688008 44917344 67376016 134752032