Search a number
-
+
2112405000 = 23354140827
BaseRepresentation
bin111110111101000…
…1011111000001000
312110012212021220020
41331322023320020
513311233430000
6545340100440
7103230101106
oct17572137010
95405767806
102112405000
11994441162
124ab534720
132788422b4
14160798c76
15c56b7ba0
hex7de8be08

2112405000 has 80 divisors (see below), whose sum is σ = 6599200080. Its totient is φ = 563304000.

The previous prime is 2112404981. The next prime is 2112405041. The reversal of 2112405000 is 5042112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55414 + ... + 85413.

It is an arithmetic number, because the mean of its divisors is an integer number (82490001).

Almost surely, 22112405000 is an apocalyptic number.

2112405000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112405000 is an abundant number, since it is smaller than the sum of its proper divisors (4486795080).

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

2112405000 is a wasteful number, since it uses less digits than its factorization.

2112405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140856 (or 140837 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2112405000 is about 45960.9073017494. The cubic root of 2112405000 is about 1283.0957375777.

Adding to 2112405000 its reverse (5042112), we get a palindrome (2117447112).

The spelling of 2112405000 in words is "two billion, one hundred twelve million, four hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 15000 140827 281654 422481 563308 704135 844962 1126616 1408270 1689924 2112405 2816540 3379848 3520675 4224810 5633080 7041350 8449620 10562025 14082700 16899240 17603375 21124050 28165400 35206750 42248100 52810125 70413500 84496200 88016875 105620250 140827000 176033750 211240500 264050625 352067500 422481000 528101250 704135000 1056202500 2112405000