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134260632 = 2333113467
BaseRepresentation
bin10000000000010…
…10011110011000
3100100122010222000
420000022132120
5233332320012
621153401000
73220124262
oct1000123630
9310563860
10134260632
1169872000
1238b69160
1321a7ab7c
1413b8cb32
15bbc0ddc
hex800a798

134260632 has 128 divisors (see below), whose sum is σ = 411091200. Its totient is φ = 40597920.

The previous prime is 134260601. The next prime is 134260661. The reversal of 134260632 is 236062431.

134260632 is a `hidden beast` number, since 1 + 3 + 4 + 26 + 0 + 632 = 666.

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 = 134260596 and 134260605.

It is a congruent number.

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, 287263 + ... + 287729.

It is an arithmetic number, because the mean of its divisors is an integer number (3211650).

Almost surely, 2134260632 is an apocalyptic number.

134260632 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 134260632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205545600).

134260632 is an abundant number, since it is smaller than the sum of its proper divisors (276830568).

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

134260632 is a wasteful number, since it uses less digits than its factorization.

134260632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 134260632 is about 11587.0890218381. The cubic root of 134260632 is about 512.0545494452.

The spelling of 134260632 in words is "one hundred thirty-four million, two hundred sixty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 467 484 594 726 792 934 968 1089 1188 1331 1401 1452 1868 2178 2376 2662 2802 2904 3267 3736 3993 4203 4356 5137 5324 5604 6534 7986 8406 8712 10274 10648 11208 11979 12609 13068 15411 15972 16812 20548 23958 25218 26136 30822 31944 33624 35937 41096 46233 47916 50436 56507 61644 71874 92466 95832 100872 113014 123288 138699 143748 169521 184932 226028 277398 287496 339042 369864 452056 508563 554796 621577 678084 1017126 1109592 1243154 1356168 1525689 1864731 2034252 2486308 3051378 3729462 4068504 4972616 5594193 6102756 7458924 11188386 12205512 14917848 16782579 22376772 33565158 44753544 67130316 134260632