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134062080 = 213351091
BaseRepresentation
bin1111111110110…
…10000000000000
3100100021001121020
413333122000000
5233304441310
621145225440
73215336355
oct777320000
9310231536
10134062080
1169746909
1238a92280
1321a0b699
1413b3a62c
15bb82170
hex7fda000

134062080 has 112 divisors (see below), whose sum is σ = 429365664. Its totient is φ = 35717120.

The previous prime is 134062057. The next prime is 134062111. The reversal of 134062080 is 80260431.

It is a happy number.

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

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 134062080.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122335 + ... + 123425.

It is an arithmetic number, because the mean of its divisors is an integer number (3833622).

Almost surely, 2134062080 is an apocalyptic number.

134062080 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 134062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214682832).

134062080 is an abundant number, since it is smaller than the sum of its proper divisors (295303584).

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

134062080 is an equidigital number, since it uses as much as digits as its factorization.

134062080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 134062080 is about 11578.5180398875. The cubic root of 134062080 is about 511.8020067781.

The spelling of 134062080 in words is "one hundred thirty-four million, sixty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1091 1280 1536 1920 2048 2182 2560 3072 3273 3840 4096 4364 5120 5455 6144 6546 7680 8192 8728 10240 10910 12288 13092 15360 16365 17456 20480 21820 24576 26184 30720 32730 34912 40960 43640 52368 61440 65460 69824 87280 104736 122880 130920 139648 174560 209472 261840 279296 349120 418944 523680 558592 698240 837888 1047360 1117184 1396480 1675776 2094720 2234368 2792960 3351552 4189440 4468736 5585920 6703104 8378880 8937472 11171840 13406208 16757760 22343680 26812416 33515520 44687360 67031040 134062080