Search a number
-
+
141170900 = 225213312113
BaseRepresentation
bin10000110101000…
…01100011010100
3100211122020001212
420122201203110
5242114432100
622001440552
73332634653
oct1032414324
9324566055
10141170900
1172761872
123b340158
132332a2a0
1414a6b19a
15c5d8635
hex86a18d4

141170900 has 108 divisors (see below), whose sum is σ = 343907676. Its totient is φ = 49996800.

The previous prime is 141170891. The next prime is 141170903. The reversal of 141170900 is 9071141.

141170900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 53523856 + 87647044 = 7316^2 + 9362^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141170903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1249244 + ... + 1249356.

Almost surely, 2141170900 is an apocalyptic number.

141170900 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 141170900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171953838).

141170900 is an abundant number, since it is smaller than the sum of its proper divisors (202736776).

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

141170900 is a wasteful number, since it uses less digits than its factorization.

141170900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 141170900 is about 11881.5360959768. The cubic root of 141170900 is about 520.6929863268.

The spelling of 141170900 in words is "one hundred forty-one million, one hundred seventy thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 113 124 130 155 226 260 310 325 403 452 565 620 650 775 806 961 1130 1300 1469 1550 1612 1922 2015 2260 2825 2938 3100 3503 3844 4030 4805 5650 5876 7006 7345 8060 9610 10075 11300 12493 14012 14690 17515 19220 20150 24025 24986 29380 35030 36725 40300 45539 48050 49972 62465 70060 73450 87575 91078 96100 108593 124930 146900 175150 182156 217186 227695 249860 312325 350300 434372 455390 542965 624650 910780 1085930 1138475 1249300 1411709 2171860 2276950 2714825 2823418 4553900 5429650 5646836 7058545 10859300 14117090 28234180 35292725 70585450 141170900