Search a number
-
+
140501100 = 223521014637
BaseRepresentation
bin10000101111111…
…10000001101100
3100210101012021110
420113332001230
5241432013400
621535232020
73324145125
oct1027760154
9323335243
10140501100
1172344613
123b078610
132315445c
141493504c
15c504e50
hex85fe06c

140501100 has 72 divisors (see below), whose sum is σ = 410629968. Its totient is φ = 37088000.

The previous prime is 140501093. The next prime is 140501113. The reversal of 140501100 is 1105041.

It is a happy number.

140501100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 27982 + ... + 32618.

It is an arithmetic number, because the mean of its divisors is an integer number (5703194).

Almost surely, 2140501100 is an apocalyptic number.

140501100 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 140501100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205314984).

140501100 is an abundant number, since it is smaller than the sum of its proper divisors (270128868).

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

140501100 is a wasteful number, since it uses less digits than its factorization.

140501100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 140501100 is about 11853.3159917383. The cubic root of 140501100 is about 519.8681865109.

Adding to 140501100 its reverse (1105041), we get a palindrome (141606141).

The spelling of 140501100 in words is "one hundred forty million, five hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 4637 5050 6060 7575 9274 10100 13911 15150 18548 23185 27822 30300 46370 55644 69555 92740 115925 139110 231850 278220 347775 463700 468337 695550 936674 1391100 1405011 1873348 2341685 2810022 4683370 5620044 7025055 9366740 11708425 14050110 23416850 28100220 35125275 46833700 70250550 140501100