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134093520 = 243251116931
BaseRepresentation
bin1111111111000…
…01101011010000
3100100022122201200
413333201223100
5233311443040
621150031200
73215530131
oct777415320
9310278650
10134093520
11697684a0
1238aa8500
1321a1caa2
1413b47c88
15bb8b630
hex7fe1ad0

134093520 has 120 divisors (see below), whose sum is σ = 491298912. Its totient is φ = 32505600.

The previous prime is 134093503. The next prime is 134093521. The reversal of 134093520 is 25390431.

134093520 is a `hidden beast` number, since 13 + 40 + 93 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134093521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546 + ... + 16385.

Almost surely, 2134093520 is an apocalyptic number.

134093520 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 134093520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245649456).

134093520 is an abundant number, since it is smaller than the sum of its proper divisors (357205392).

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

134093520 is a wasteful number, since it uses less digits than its factorization.

134093520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16961 (or 16952 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 134093520 is about 11579.8756470007. The cubic root of 134093520 is about 511.8420126157.

The spelling of 134093520 in words is "one hundred thirty-four million, ninety-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 16931 33862 50793 67724 84655 101586 135448 152379 169310 186241 203172 253965 270896 304758 338620 372482 406344 507930 558723 609516 677240 744964 761895 812688 931205 1015860 1117446 1219032 1354480 1489928 1523790 1676169 1862410 2031720 2234892 2438064 2793615 2979856 3047580 3352338 3724820 4063440 4469784 5587230 6095160 6704676 7449640 8380845 8939568 11174460 12190320 13409352 14899280 16761690 22348920 26818704 33523380 44697840 67046760 134093520