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104014240 = 25511113523
BaseRepresentation
bin1100011001100…
…10000110100000
321020201110201021
412030302012200
5203111423430
614153215224
72402051341
oct614620640
9236643637
10104014240
1153793490
122aa01514
131871a9b5
14db580c8
1591e907a
hex63321a0

104014240 has 96 divisors (see below), whose sum is σ = 270962496. Its totient is φ = 37416960.

The previous prime is 104014237. The next prime is 104014247. The reversal of 104014240 is 42410401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (104014247) 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, 198619 + ... + 199141.

It is an arithmetic number, because the mean of its divisors is an integer number (2822526).

Almost surely, 2104014240 is an apocalyptic number.

104014240 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 104014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135481248).

104014240 is an abundant number, since it is smaller than the sum of its proper divisors (166948256).

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

104014240 is a wasteful number, since it uses less digits than its factorization.

104014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 104014240 is about 10198.7371767293. The cubic root of 104014240 is about 470.2884000300.

Adding to 104014240 its reverse (42410401), we get a palindrome (146424641).

It can be divided in two parts, 10401 and 4240, that added together give a palindrome (14641).

The spelling of 104014240 in words is "one hundred four million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 113 160 176 220 226 352 440 452 523 565 880 904 1046 1130 1243 1760 1808 2092 2260 2486 2615 3616 4184 4520 4972 5230 5753 6215 8368 9040 9944 10460 11506 12430 16736 18080 19888 20920 23012 24860 28765 39776 41840 46024 49720 57530 59099 83680 92048 99440 115060 118198 184096 198880 230120 236396 295495 460240 472792 590990 650089 920480 945584 1181980 1300178 1891168 2363960 2600356 3250445 4727920 5200712 6500890 9455840 10401424 13001780 20802848 26003560 52007120 104014240