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104233240 = 23519236789
BaseRepresentation
bin1100011011001…
…11100100011000
321021010121010101
412031213210120
5203140430430
614202025144
72403652666
oct615474430
9237117111
10104233240
1153922a81
122aaa81b4
1318796597
14dbb3c36
15923ddca
hex6367918

104233240 has 128 divisors (see below), whose sum is σ = 264384000. Its totient is φ = 36799488.

The previous prime is 104233231. The next prime is 104233267. The reversal of 104233240 is 42332401.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

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, 1171116 + ... + 1171204.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2104233240 is an apocalyptic number.

104233240 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 104233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

104233240 is an abundant number, since it is smaller than the sum of its proper divisors (160150760).

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

104233240 is a wasteful number, since it uses less digits than its factorization.

104233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 104233240 is about 10209.4681546102. The cubic root of 104233240 is about 470.6182297426.

Adding to 104233240 its reverse (42332401), we get a palindrome (146565641).

The spelling of 104233240 in words is "one hundred four million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 67 76 89 92 95 115 134 152 178 184 190 230 268 335 356 380 437 445 460 536 670 712 760 874 890 920 1273 1340 1541 1691 1748 1780 2047 2185 2546 2680 3082 3382 3496 3560 4094 4370 5092 5963 6164 6365 6764 7705 8188 8455 8740 10184 10235 11926 12328 12730 13528 15410 16376 16910 17480 20470 23852 25460 29279 29815 30820 33820 38893 40940 47704 50920 58558 59630 61640 67640 77786 81880 113297 117116 119260 137149 146395 155572 194465 226594 234232 238520 274298 292790 311144 388930 453188 548596 566485 585580 685745 777860 906376 1097192 1132970 1171160 1371490 1555720 2265940 2605831 2742980 4531880 5211662 5485960 10423324 13029155 20846648 26058310 52116620 104233240