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104137540 = 22513419769
BaseRepresentation
bin1100011010100…
…00001101000100
321020221201211221
412031100031010
5203124400130
614200010124
72403103663
oct615201504
9236851757
10104137540
1153868091
122aa60944
1318761b60
14db8adda
15922087a
hex6350344

104137540 has 48 divisors (see below), whose sum is σ = 241279920. Its totient is φ = 37509120.

The previous prime is 104137513. The next prime is 104137541. The reversal of 104137540 is 45731401.

It can be written as a sum of positive squares in 8 ways, for example, as 35976004 + 68161536 = 5998^2 + 8256^2 .

It is not an unprimeable number, because it can be changed into a prime (104137541) 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, 5776 + ... + 15544.

It is an arithmetic number, because the mean of its divisors is an integer number (5026665).

Almost surely, 2104137540 is an apocalyptic number.

104137540 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 104137540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120639960).

104137540 is an abundant number, since it is smaller than the sum of its proper divisors (137142380).

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

104137540 is a wasteful number, since it uses less digits than its factorization.

104137540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832 (or 9830 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 104137540 is about 10204.7802524111. The cubic root of 104137540 is about 470.4741555640.

Adding to 104137540 its reverse (45731401), we get a palindrome (149868941).

The spelling of 104137540 in words is "one hundred four million, one hundred thirty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 9769 10660 19538 39076 48845 97690 126997 195380 253994 400529 507988 634985 801058 1269970 1602116 2002645 2539940 4005290 5206877 8010580 10413754 20827508 26034385 52068770 104137540