Search a number
-
+
109443840 = 2835112591
BaseRepresentation
bin1101000010111…
…11101100000000
321121221022201120
412201133230000
5211004200330
614505432240
72466154152
oct641375400
9247838646
10109443840
1156861860
123079b680
131989c18c
141076cad2
15991cc10
hex685fb00

109443840 has 144 divisors (see below), whose sum is σ = 381459456. Its totient is φ = 26521600.

The previous prime is 109443827. The next prime is 109443847. The reversal of 109443840 is 48344901.

It is a happy number.

It is a super-2 number, since 2×1094438402 = 23955908227891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (109443847) 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, 40945 + ... + 43535.

It is an arithmetic number, because the mean of its divisors is an integer number (2649024).

Almost surely, 2109443840 is an apocalyptic number.

109443840 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 109443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190729728).

109443840 is an abundant number, since it is smaller than the sum of its proper divisors (272015616).

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

109443840 is a wasteful number, since it uses less digits than its factorization.

109443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 109443840 is about 10461.5409954748. The cubic root of 109443840 is about 478.3331069805. Note that the first 3 decimals are identical.

The spelling of 109443840 in words is "one hundred nine million, four hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2591 2640 2816 3520 3840 4224 5182 5280 7040 7773 8448 10364 10560 12955 14080 15546 20728 21120 25910 28501 31092 38865 41456 42240 51820 57002 62184 77730 82912 85503 103640 114004 124368 142505 155460 165824 171006 207280 228008 248736 285010 310920 331648 342012 414560 427515 456016 497472 570020 621840 663296 684024 829120 855030 912032 994944 1140040 1243680 1368048 1658240 1710060 1824064 1989888 2280080 2487360 2736096 3316480 3420120 3648128 4560160 4974720 5472192 6840240 7296256 9120320 9949440 10944384 13680480 18240640 21888768 27360960 36481280 54721920 109443840