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134205440 = 21256553
BaseRepresentation
bin1111111111111…
…01000000000000
3100100112100020212
413333331000000
5233324033230
621152253252
73216504335
oct777750000
9310470225
10134205440
1169834596
1238b41228
1321a5ba05
1413b7698c
15bbae895
hex7ffd000

134205440 has 52 divisors (see below), whose sum is σ = 322102884. Its totient is φ = 53673984.

The previous prime is 134205403. The next prime is 134205443. The reversal of 134205440 is 44502431.

It can be written as a sum of positive squares in 2 ways, for example, as 46895104 + 87310336 = 6848^2 + 9344^2 .

It is a super-2 number, since 2×1342054402 = 36022200251187200, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134205443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17204 + ... + 23756.

Almost surely, 2134205440 is an apocalyptic number.

134205440 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 134205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161051442).

134205440 is an abundant number, since it is smaller than the sum of its proper divisors (187897444).

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

134205440 is an frugal number, since it uses more digits than its factorization.

134205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 134205440 is about 11584.7071607357. The cubic root of 134205440 is about 511.9843745231.

Adding to 134205440 its reverse (44502431), we get a palindrome (178707871).

The spelling of 134205440 in words is "one hundred thirty-four million, two hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 6553 10240 13106 20480 26212 32765 52424 65530 104848 131060 209696 262120 419392 524240 838784 1048480 1677568 2096960 3355136 4193920 6710272 8387840 13420544 16775680 26841088 33551360 67102720 134205440