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134924760 = 233251312861
BaseRepresentation
bin10000000101011…
…00100111011000
3100101212212222100
420002230213120
5234020043020
621215523400
73225561435
oct1002544730
9311785870
10134924760
116a185a73
1239229560
1321c51249
1413cc2b8c
15bca2a90
hex80ac9d8

134924760 has 96 divisors (see below), whose sum is σ = 442007280. Its totient is φ = 35692800.

The previous prime is 134924759. The next prime is 134924773. The reversal of 134924760 is 67429431.

It is a super-2 number, since 2×1349247602 = 36409381722115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 45730 + ... + 48590.

Almost surely, 2134924760 is an apocalyptic number.

134924760 is a gapful number since it is divisible by the number (10) 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 134924760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221003640).

134924760 is an abundant number, since it is smaller than the sum of its proper divisors (307082520).

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

134924760 is a wasteful number, since it uses less digits than its factorization.

134924760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 134924760 is about 11615.7117732836. The cubic root of 134924760 is about 512.8974636330.

The spelling of 134924760 in words is "one hundred thirty-four million, nine hundred twenty-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 131 180 262 360 393 524 655 786 1048 1179 1310 1572 1965 2358 2620 2861 3144 3930 4716 5240 5722 5895 7860 8583 9432 11444 11790 14305 15720 17166 22888 23580 25749 28610 34332 42915 47160 51498 57220 68664 85830 102996 114440 128745 171660 205992 257490 343320 374791 514980 749582 1029960 1124373 1499164 1873955 2248746 2998328 3373119 3747910 4497492 5621865 6746238 7495820 8994984 11243730 13492476 14991640 16865595 22487460 26984952 33731190 44974920 67462380 134924760