Search a number
-
+
140688100 = 22527200983
BaseRepresentation
bin10000110001010…
…11101011100100
3100210201200210101
420120223223210
5242004004400
621543233444
73325554250
oct1030535344
9323650711
10140688100
1172462063
123b148884
13231bb5c7
1414983260
15c54056a
hex862bae4

140688100 has 36 divisors (see below), whose sum is σ = 348908224. Its totient is φ = 48235680.

The previous prime is 140688091. The next prime is 140688101. The reversal of 140688100 is 1886041.

It is a super-2 number, since 2×1406881002 = 39586282963220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (140688101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99792 + ... + 101191.

Almost surely, 2140688100 is an apocalyptic number.

140688100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140688100 is an abundant number, since it is smaller than the sum of its proper divisors (208220124).

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

140688100 is a wasteful number, since it uses less digits than its factorization.

140688100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201004 (or 200997 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 140688100 is about 11861.2014568508. The cubic root of 140688100 is about 520.0987238593.

The spelling of 140688100 in words is "one hundred forty million, six hundred eighty-eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 200983 401966 803932 1004915 1406881 2009830 2813762 4019660 5024575 5627524 7034405 10049150 14068810 20098300 28137620 35172025 70344050 140688100