Search a number
-
+
123868200 = 23352206447
BaseRepresentation
bin1110110001000…
…01010000101000
322122002011020010
413120201100220
5223202240300
620142531520
73032601531
oct730412050
9278064203
10123868200
1163a14015
1235596ba0
131c87c7c1
1412645688
15ad1ba50
hex7621428

123868200 has 48 divisors (see below), whose sum is σ = 383993280. Its totient is φ = 33031360.

The previous prime is 123868189. The next prime is 123868207. The reversal of 123868200 is 2868321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (123868207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102624 + ... + 103823.

It is an arithmetic number, because the mean of its divisors is an integer number (7999860).

Almost surely, 2123868200 is an apocalyptic number.

123868200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123868200 is an abundant number, since it is smaller than the sum of its proper divisors (260125080).

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

123868200 is a wasteful number, since it uses less digits than its factorization.

123868200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206466 (or 206457 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 123868200 is about 11129.6091575580. The cubic root of 123868200 is about 498.4863557192.

The spelling of 123868200 in words is "one hundred twenty-three million, eight hundred sixty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 206447 412894 619341 825788 1032235 1238682 1651576 2064470 2477364 3096705 4128940 4954728 5161175 6193410 8257880 10322350 12386820 15483525 20644700 24773640 30967050 41289400 61934100 123868200