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134923360 = 25511135897
BaseRepresentation
bin10000000101011…
…00010001100000
3100101212211001111
420002230101200
5234020021420
621215513104
73225554365
oct1002542140
9311784044
10134923360
116a184a10
1239228794
1321c50710
1413cc246c
15bca245a
hex80ac460

134923360 has 96 divisors (see below), whose sum is σ = 374546592. Its totient is φ = 45281280.

The previous prime is 134923297. The next prime is 134923367. The reversal of 134923360 is 63329431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134923367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19932 + ... + 25828.

It is an arithmetic number, because the mean of its divisors is an integer number (3901527).

Almost surely, 2134923360 is an apocalyptic number.

134923360 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 134923360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187273296).

134923360 is an abundant number, since it is smaller than the sum of its proper divisors (239623232).

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

134923360 is a wasteful number, since it uses less digits than its factorization.

134923360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 134923360 is about 11615.6515099240. The cubic root of 134923360 is about 512.8956896593.

The spelling of 134923360 in words is "one hundred thirty-four million, nine hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 5897 11440 11794 22880 23588 29485 47176 58970 64867 76661 94352 117940 129734 153322 188704 235880 259468 306644 324335 383305 471760 518936 613288 648670 766610 843271 943520 1037872 1226576 1297340 1533220 1686542 2075744 2453152 2594680 3066440 3373084 4216355 5189360 6132880 6746168 8432710 10378720 12265760 13492336 16865420 26984672 33730840 67461680 134923360