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134928480 = 2535401701
BaseRepresentation
bin10000000101011…
…01100001100000
3100101220002002010
420002231201200
5234020202410
621215552520
73225605331
oct1002554140
9311802063
10134928480
116a188845
123922b740
1321c52b4b
1413cc4288
15bca3c20
hex80ad860

134928480 has 96 divisors (see below), whose sum is σ = 426692448. Its totient is φ = 35840000.

The previous prime is 134928467. The next prime is 134928491. The reversal of 134928480 is 84829431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1349284802 = 36411389430220800, which contains 22 as substring.

It is a congruent number.

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, 192130 + ... + 192830.

It is an arithmetic number, because the mean of its divisors is an integer number (4444713).

Almost surely, 2134928480 is an apocalyptic number.

134928480 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 134928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213346224).

134928480 is an abundant number, since it is smaller than the sum of its proper divisors (291763968).

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

134928480 is a wasteful number, since it uses less digits than its factorization.

134928480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 134928480 is about 11615.8719001201. The cubic root of 134928480 is about 512.9021772749.

The spelling of 134928480 in words is "one hundred thirty-four million, nine hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 401 480 701 802 1203 1402 1604 2005 2103 2406 2804 3208 3505 4010 4206 4812 5608 6015 6416 7010 8020 8412 9624 10515 11216 12030 12832 14020 16040 16824 19248 21030 22432 24060 28040 32080 33648 38496 42060 48120 56080 64160 67296 84120 96240 112160 168240 192480 281101 336480 562202 843303 1124404 1405505 1686606 2248808 2811010 3373212 4216515 4497616 5622020 6746424 8433030 8995232 11244040 13492848 16866060 22488080 26985696 33732120 44976160 67464240 134928480