Search a number
-
+
123200420 = 22572338261
BaseRepresentation
bin1110101011111…
…10001110100100
322120211020012112
413111332032210
5223014403140
620120340152
73024120620
oct725761644
9276736175
10123200420
11635a8332
1235314658
131c6a7875
1412510180
15ac38c65
hex757e3a4

123200420 has 48 divisors (see below), whose sum is σ = 308544768. Its totient is φ = 40402560.

The previous prime is 123200383. The next prime is 123200431. The reversal of 123200420 is 24002321.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 123200395 and 123200404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15911 + ... + 22350.

It is an arithmetic number, because the mean of its divisors is an integer number (6428016).

Almost surely, 2123200420 is an apocalyptic number.

123200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123200420 is an abundant number, since it is smaller than the sum of its proper divisors (185344348).

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

123200420 is a wasteful number, since it uses less digits than its factorization.

123200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38300 (or 38298 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 123200420 is about 11099.5684600799. The cubic root of 123200420 is about 497.5889523865.

Adding to 123200420 its reverse (24002321), we get a palindrome (147202741).

The spelling of 123200420 in words is "one hundred twenty-three million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 38261 76522 153044 191305 267827 382610 535654 765220 880003 1071308 1339135 1760006 2678270 3520012 4400015 5356540 6160021 8800030 12320042 17600060 24640084 30800105 61600210 123200420