[go: up one dir, main page]

Search a number
-
+
2146300100 = 225274217283
BaseRepresentation
bin111111111101101…
…1111000011000100
312112120122100020022
41333323133003010
513343423100400
6552550354312
7104121151460
oct17773370304
95476570208
102146300100
11a0159203a
124ba95b998
1328287c179
1416509d4a0
15c8660b85
hex7fedf0c4

2146300100 has 72 divisors (see below), whose sum is σ = 5336200128. Its totient is φ = 734025600.

The previous prime is 2146300081. The next prime is 2146300139. The reversal of 2146300100 is 10036412.

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, 291059 + ... + 298341.

Almost surely, 22146300100 is an apocalyptic number.

2146300100 is a gapful number since it is divisible by the number (20) 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 2146300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668100064).

2146300100 is an abundant number, since it is smaller than the sum of its proper divisors (3189900028).

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

2146300100 is a wasteful number, since it uses less digits than its factorization.

2146300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725 (or 7718 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2146300100 is about 46328.1782503910. The cubic root of 2146300100 is about 1289.9220953294.

Adding to 2146300100 its reverse (10036412), we get a palindrome (2156336512).

The spelling of 2146300100 in words is "two billion, one hundred forty-six million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 421 700 842 1684 2105 2947 4210 5894 7283 8420 10525 11788 14566 14735 21050 29132 29470 36415 42100 50981 58940 72830 73675 101962 145660 147350 182075 203924 254905 294700 364150 509810 728300 1019620 1274525 2549050 3066143 5098100 6132286 12264572 15330715 21463001 30661430 42926002 61322860 76653575 85852004 107315005 153307150 214630010 306614300 429260020 536575025 1073150050 2146300100