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109440240 = 24357135011
BaseRepresentation
bin1101000010111…
…10110011110000
321121221010210020
412201132303300
5211004041430
614505403440
72466140520
oct641366360
9247833706
10109440240
115685a088
1230799580
131989a650
141076b680
15991bb10
hex685ecf0

109440240 has 160 divisors (see below), whose sum is σ = 417639936. Its totient is φ = 23086080.

The previous prime is 109440239. The next prime is 109440257. The reversal of 109440240 is 42044901.

It is a super-2 number, since 2×1094402402 = 23954332262515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 109440240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19335 + ... + 24345.

Almost surely, 2109440240 is an apocalyptic number.

109440240 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 109440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208819968).

109440240 is an abundant number, since it is smaller than the sum of its proper divisors (308199696).

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

109440240 is a wasteful number, since it uses less digits than its factorization.

109440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 109440240 is about 10461.3689352780. The cubic root of 109440240 is about 478.3278622265.

The spelling of 109440240 in words is "one hundred nine million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5011 5460 7280 10022 10920 15033 20044 21840 25055 30066 35077 40088 50110 60132 65143 70154 75165 80176 100220 105231 120264 130286 140308 150330 175385 195429 200440 210462 240528 260572 280616 300660 325715 350770 390858 400880 420924 456001 521144 526155 561232 601320 651430 701540 781716 841848 912002 977145 1042288 1052310 1202640 1302860 1368003 1403080 1563432 1683696 1824004 1954290 2104620 2280005 2605720 2736006 2806160 3126864 3648008 3908580 4209240 4560010 5211440 5472012 6840015 7296016 7817160 8418480 9120020 10944024 13680030 15634320 18240040 21888048 27360060 36480080 54720120 109440240