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104254540 = 2251317103229
BaseRepresentation
bin1100011011011…
…00110001001100
321021011200100021
412031230301030
5203142121130
614202311524
72404102045
oct615546114
9237150307
10104254540
1153937a85
122aab85a4
13187a31a0
14dbbb8cc
15924537a
hex636cc4c

104254540 has 96 divisors (see below), whose sum is σ = 253169280. Its totient is φ = 35721216.

The previous prime is 104254531. The next prime is 104254541. The reversal of 104254540 is 45452401.

It is a happy number.

It is a super-2 number, since 2×1042545402 = 21738018221223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104254541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455146 + ... + 455374.

It is an arithmetic number, because the mean of its divisors is an integer number (2637180).

Almost surely, 2104254540 is an apocalyptic number.

104254540 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 104254540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126584640).

104254540 is an abundant number, since it is smaller than the sum of its proper divisors (148914740).

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

104254540 is a wasteful number, since it uses less digits than its factorization.

104254540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 104254540 is about 10210.5112506671. The cubic root of 104254540 is about 470.6502844101.

The spelling of 104254540 in words is "one hundred four million, two hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 103 130 170 206 221 229 260 340 412 442 458 515 884 916 1030 1105 1145 1339 1751 2060 2210 2290 2678 2977 3502 3893 4420 4580 5356 5954 6695 7004 7786 8755 11908 13390 14885 15572 17510 19465 22763 23587 26780 29770 35020 38930 45526 47174 50609 59540 77860 91052 94348 101218 113815 117935 202436 227630 235870 253045 306631 400979 455260 471740 506090 613262 801958 1012180 1226524 1533155 1603916 2004895 3066310 4009790 5212727 6132620 8019580 10425454 20850908 26063635 52127270 104254540