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104136540 = 223543181223
BaseRepresentation
bin1100011010011…
…11111101011100
321020221200110220
412031033331130
5203124332130
614200001340
72403101034
oct615177534
9236850426
10104136540
1153867362
122aa60250
1318761571
14db8a8c4
159220410
hex634ff5c

104136540 has 96 divisors (see below), whose sum is σ = 301357056. Its totient is φ = 26853120.

The previous prime is 104136499. The next prime is 104136541. The reversal of 104136540 is 45631401.

It is a self number, because there is not a number n which added to its sum of digits gives 104136540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104136541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466869 + ... + 467091.

It is an arithmetic number, because the mean of its divisors is an integer number (3139136).

Almost surely, 2104136540 is an apocalyptic number.

104136540 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 104136540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150678528).

104136540 is an abundant number, since it is smaller than the sum of its proper divisors (197220516).

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

104136540 is a wasteful number, since it uses less digits than its factorization.

104136540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 104136540 is about 10204.7312556480. The cubic root of 104136540 is about 470.4726496208.

Adding to 104136540 its reverse (45631401), we get a palindrome (149767941).

The spelling of 104136540 in words is "one hundred four million, one hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 181 215 223 258 362 430 446 516 543 645 669 724 860 892 905 1086 1115 1290 1338 1810 2172 2230 2580 2676 2715 3345 3620 4460 5430 6690 7783 9589 10860 13380 15566 19178 23349 28767 31132 38356 38915 40363 46698 47945 57534 77830 80726 93396 95890 115068 116745 121089 143835 155660 161452 191780 201815 233490 242178 287670 403630 466980 484356 575340 605445 807260 1210890 1735609 2421780 3471218 5206827 6942436 8678045 10413654 17356090 20827308 26034135 34712180 52068270 104136540