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100443140 = 22572176029
BaseRepresentation
bin1011111110010…
…10010000000100
321000000001002022
411333022100010
5201203140030
613544502312
72326516100
oct577122004
9230001068
10100443140
1151774466
122977a998
1317a6a415
14d4a8900
158c40de5
hex5fca404

100443140 has 72 divisors (see below), whose sum is σ = 259844760. Its totient is φ = 32406528.

The previous prime is 100443127. The next prime is 100443151. The reversal of 100443140 is 41344001.

It can be written as a sum of positive squares in 4 ways, for example, as 44970436 + 55472704 = 6706^2 + 7448^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 13646 + ... + 19674.

It is an arithmetic number, because the mean of its divisors is an integer number (3608955).

Almost surely, 2100443140 is an apocalyptic number.

100443140 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 100443140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129922380).

100443140 is an abundant number, since it is smaller than the sum of its proper divisors (159401620).

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

100443140 is a wasteful number, since it uses less digits than its factorization.

100443140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 100443140 is about 10022.1325076054. The cubic root of 100443140 is about 464.8434976469.

Adding to 100443140 its reverse (41344001), we get a palindrome (141787141).

It can be divided in two parts, 1004 and 43140, that added together give a palindrome (44144).

The spelling of 100443140 in words is "one hundred million, four hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 6029 8330 12058 16660 24116 30145 42203 60290 84406 102493 120580 168812 204986 211015 295421 409972 422030 512465 590842 717451 844060 1024930 1181684 1434902 1477105 2049860 2869804 2954210 3587255 5022157 5908420 7174510 10044314 14349020 20088628 25110785 50221570 100443140