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134460240 = 24352919319
BaseRepresentation
bin10000000001110…
…11001101010000
3100101000021202220
420000323031100
5233410211430
621201541040
73221615235
oct1000731520
9311007686
10134460240
1169998a72
1239044780
1321b1a995
1413c0178c
15bc10110
hex803b350

134460240 has 80 divisors (see below), whose sum is σ = 431222400. Its totient is φ = 34617856.

The previous prime is 134460229. The next prime is 134460241. The reversal of 134460240 is 42064431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1344602402 = 36159112281715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134460240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134460241) 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, 2700 + ... + 16619.

It is an arithmetic number, because the mean of its divisors is an integer number (5390280).

Almost surely, 2134460240 is an apocalyptic number.

134460240 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 134460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215611200).

134460240 is an abundant number, since it is smaller than the sum of its proper divisors (296762160).

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

134460240 is a wasteful number, since it uses less digits than its factorization.

134460240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19364 (or 19358 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 134460240 is about 11595.6992027217. The cubic root of 134460240 is about 512.3081844140.

The spelling of 134460240 in words is "one hundred thirty-four million, four hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 19319 38638 57957 77276 96595 115914 154552 193190 231828 289785 309104 386380 463656 560251 579570 772760 927312 1120502 1159140 1545520 1680753 2241004 2318280 2801255 3361506 4482008 4636560 5602510 6723012 8403765 8964016 11205020 13446024 16807530 22410040 26892048 33615060 44820080 67230120 134460240