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134111760 = 24353531583
BaseRepresentation
bin1111111111001…
…10001000010000
3100100100120202020
413333212020100
5233313034020
621150251440
73215634246
oct777461020
9310316666
10134111760
1169780172
1238ab6b80
1321a28193
1413b50796
15bb91c40
hex7fe6210

134111760 has 80 divisors (see below), whose sum is σ = 417187584. Its totient is φ = 35639296.

The previous prime is 134111753. The next prime is 134111773. The reversal of 134111760 is 67111431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134111760.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83929 + ... + 85511.

Almost surely, 2134111760 is an apocalyptic number.

134111760 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 134111760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208593792).

134111760 is an abundant number, since it is smaller than the sum of its proper divisors (283075824).

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

134111760 is a wasteful number, since it uses less digits than its factorization.

134111760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 134111760 is about 11580.6631934445. The cubic root of 134111760 is about 511.8652192430.

The spelling of 134111760 in words is "one hundred thirty-four million, one hundred eleven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 353 706 1059 1412 1583 1765 2118 2824 3166 3530 4236 4749 5295 5648 6332 7060 7915 8472 9498 10590 12664 14120 15830 16944 18996 21180 23745 25328 28240 31660 37992 42360 47490 63320 75984 84720 94980 126640 189960 379920 558799 1117598 1676397 2235196 2793995 3352794 4470392 5587990 6705588 8381985 8940784 11175980 13411176 16763970 22351960 26822352 33527940 44703920 67055880 134111760