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134884320 = 2535972897
BaseRepresentation
bin10000000101000…
…10101111100000
3100101210211111120
420002202233200
5234012244240
621215012240
73225332514
oct1002425740
9311724446
10134884320
116a15864a
123920a080
1321c38a0c
1413cb2144
15bc95ad0
hex80a2be0

134884320 has 96 divisors (see below), whose sum is σ = 429414048. Its totient is φ = 35586048.

The previous prime is 134884303. The next prime is 134884331. The reversal of 134884320 is 23488431.

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

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, 45112 + ... + 48008.

It is an arithmetic number, because the mean of its divisors is an integer number (4473063).

Almost surely, 2134884320 is an apocalyptic number.

134884320 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 134884320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214707024).

134884320 is an abundant number, since it is smaller than the sum of its proper divisors (294529728).

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

134884320 is a wasteful number, since it uses less digits than its factorization.

134884320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 134884320 is about 11613.9708971566. The cubic root of 134884320 is about 512.8462161920.

The spelling of 134884320 in words is "one hundred thirty-four million, eight hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1455 1552 1940 2328 2897 2910 3104 3880 4656 5794 5820 7760 8691 9312 11588 11640 14485 15520 17382 23176 23280 28970 34764 43455 46352 46560 57940 69528 86910 92704 115880 139056 173820 231760 278112 281009 347640 463520 562018 695280 843027 1124036 1390560 1405045 1686054 2248072 2810090 3372108 4215135 4496144 5620180 6744216 8430270 8992288 11240360 13488432 16860540 22480720 26976864 33721080 44961440 67442160 134884320