[go: up one dir, main page]

Search a number
-
+
100243440 = 24335114219
BaseRepresentation
bin1011111100110…
…01011111110000
320222121220011000
411332121133300
5201130242230
613540322000
72325024633
oct576313760
9228556130
10100243440
1151648420
12296a3300
13179ca55b
14d455c1a
158c01b60
hex5f997f0

100243440 has 160 divisors (see below), whose sum is σ = 376761600. Its totient is φ = 24295680.

The previous prime is 100243439. The next prime is 100243463. The reversal of 100243440 is 44342001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21651 + ... + 25869.

It is an arithmetic number, because the mean of its divisors is an integer number (2354760).

Almost surely, 2100243440 is an apocalyptic number.

100243440 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 100243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188380800).

100243440 is an abundant number, since it is smaller than the sum of its proper divisors (276518160).

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

100243440 is a wasteful number, since it uses less digits than its factorization.

100243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100243440 is about 10012.1646011240. The cubic root of 100243440 is about 464.5352275974.

Adding to 100243440 its reverse (44342001), we get a palindrome (144585441).

The spelling of 100243440 in words is "one hundred million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4219 4752 5940 7920 8438 11880 12657 16876 21095 23760 25314 33752 37971 42190 46409 50628 63285 67504 75942 84380 92818 101256 113913 126570 139227 151884 168760 185636 189855 202512 227826 232045 253140 278454 303768 337520 371272 379710 417681 455652 464090 506280 556908 569565 607536 696135 742544 759420 835362 911304 928180 1012560 1113816 1139130 1253043 1392270 1518840 1670724 1822608 1856360 2088405 2227632 2278260 2506086 2784540 3037680 3341448 3712720 4176810 4556520 5012172 5569080 6265215 6682896 8353620 9113040 10024344 11138160 12530430 16707240 20048688 25060860 33414480 50121720 100243440