Search a number
-
+
134088480 = 2533531039
BaseRepresentation
bin1111111111000…
…00011100100000
3100100022101211000
413333200130200
5233311312410
621145552000
73215506341
oct777403440
9310271730
10134088480
1169764729
1238aa5600
1321a1a6c6
1413b460c8
15bb89dc0
hex7fe0720

134088480 has 96 divisors (see below), whose sum is σ = 469324800. Its totient is φ = 35755776.

The previous prime is 134088457. The next prime is 134088499. The reversal of 134088480 is 84880431.

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

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

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, 11200 + ... + 19839.

It is an arithmetic number, because the mean of its divisors is an integer number (4888800).

Almost surely, 2134088480 is an apocalyptic number.

134088480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134088480 is an abundant number, since it is smaller than the sum of its proper divisors (335236320).

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

134088480 is a wasteful number, since it uses less digits than its factorization.

134088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31063 (or 31049 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 134088480 is about 11579.6580260386. The cubic root of 134088480 is about 511.8355998870.

It can be divided in two parts, 1340884 and 80, that added together give a square (1340964 = 11582).

The spelling of 134088480 in words is "one hundred thirty-four million, eighty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 31039 62078 93117 124156 155195 186234 248312 279351 310390 372468 465585 496624 558702 620780 744936 838053 931170 993248 1117404 1241560 1396755 1489872 1676106 1862340 2234808 2483120 2793510 2979744 3352212 3724680 4190265 4469616 4966240 5587020 6704424 7449360 8380530 8939232 11174040 13408848 14898720 16761060 22348080 26817696 33522120 44696160 67044240 134088480