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109383840 = 25325372053
BaseRepresentation
bin1101000010100…
…01000010100000
321121211021102100
412201101002200
5211000240330
614504250400
72465514216
oct641210240
9247737370
10109383840
1156820775
1230770a00
131987aa87
1410754cb6
15990a060
hex68510a0

109383840 has 144 divisors (see below), whose sum is σ = 383547528. Its totient is φ = 28366848.

The previous prime is 109383839. The next prime is 109383851. The reversal of 109383840 is 48383901.

It can be written as a sum of positive squares in 4 ways, for example, as 103795344 + 5588496 = 10188^2 + 2364^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109383795 and 109383804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52254 + ... + 54306.

Almost surely, 2109383840 is an apocalyptic number.

109383840 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 109383840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191773764).

109383840 is an abundant number, since it is smaller than the sum of its proper divisors (274163688).

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

109383840 is a wasteful number, since it uses less digits than its factorization.

109383840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 109383840 is about 10458.6729559730. The cubic root of 109383840 is about 478.2456793930.

The spelling of 109383840 in words is "one hundred nine million, three hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2053 2220 2664 2960 3330 3552 4106 4440 5328 5920 6159 6660 8212 8880 10265 10656 12318 13320 16424 17760 18477 20530 24636 26640 30795 32848 36954 41060 49272 53280 61590 65696 73908 75961 82120 92385 98544 123180 147816 151922 164240 184770 197088 227883 246360 295632 303844 328480 369540 379805 455766 492720 591264 607688 683649 739080 759610 911532 985440 1139415 1215376 1367298 1478160 1519220 1823064 2278830 2430752 2734596 2956320 3038440 3418245 3646128 4557660 5469192 6076880 6836490 7292256 9115320 10938384 12153760 13672980 18230640 21876768 27345960 36461280 54691920 109383840