Search a number
-
+
134768592 = 24327235813
BaseRepresentation
bin10000000100001…
…10011111010000
3100101120221202100
420002012133100
5234000043332
621212320400
73224341230
oct1002063720
9311527670
10134768592
116a089702
1239173100
1321bc813a
1413c81cc0
15bc7167c
hex80867d0

134768592 has 120 divisors (see below), whose sum is σ = 449864064. Its totient is φ = 36824832.

The previous prime is 134768591. The next prime is 134768603. The reversal of 134768592 is 295867431.

134768592 is a `hidden beast` number, since 13 + 47 + 6 + 8 + 592 = 666.

It is a super-3 number, since 3×1347685923 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134768591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20278 + ... + 26090.

Almost surely, 2134768592 is an apocalyptic number.

134768592 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 134768592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224932032).

134768592 is an abundant number, since it is smaller than the sum of its proper divisors (315095472).

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

134768592 is a wasteful number, since it uses less digits than its factorization.

134768592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5848 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 134768592 is about 11608.9875527541. The cubic root of 134768592 is about 512.6995036883.

The spelling of 134768592 in words is "one hundred thirty-four million, seven hundred sixty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 5813 7728 11592 11626 17439 23184 23252 34878 40691 46504 52317 69756 81382 93008 104634 122073 133699 139512 162764 209268 244146 267398 279024 325528 366219 401097 418536 488292 534796 651056 732438 802194 837072 935893 976584 1069592 1203291 1464876 1604388 1871786 1953168 2139184 2406582 2807679 2929752 3208776 3743572 4813164 5615358 5859504 6417552 7487144 8423037 9626328 11230716 14974288 16846074 19252656 22461432 33692148 44922864 67384296 134768592