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134454240 = 2532593371
BaseRepresentation
bin10000000001110…
…01101111100000
3100100222222112200
420000321233200
5233410013430
621201453200
73221561604
oct1000715740
9310888480
10134454240
1169994508
1239041200
1321b1802b
1413bdd504
15bc0d460
hex8039be0

134454240 has 72 divisors (see below), whose sum is σ = 458830008. Its totient is φ = 35854080.

The previous prime is 134454233. The next prime is 134454289. The reversal of 134454240 is 42454431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45246 + ... + 48125.

It is an arithmetic number, because the mean of its divisors is an integer number (6372639).

Almost surely, 2134454240 is an apocalyptic number.

134454240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134454240 is an abundant number, since it is smaller than the sum of its proper divisors (324375768).

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

134454240 is a wasteful number, since it uses less digits than its factorization.

134454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93392 (or 93381 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 134454240 is about 11595.4404832244. The cubic root of 134454240 is about 512.3005640825.

The spelling of 134454240 in words is "one hundred thirty-four million, four hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 93371 186742 280113 373484 466855 560226 746968 840339 933710 1120452 1400565 1493936 1680678 1867420 2240904 2801130 2987872 3361356 3734840 4201695 4481808 5602260 6722712 7469680 8403390 8963616 11204520 13445424 14939360 16806780 22409040 26890848 33613560 44818080 67227120 134454240