Search a number
-
+
124136400 = 24352314771
BaseRepresentation
bin1110110011000…
…10101111010000
322122120210010110
413121202233100
5223234331100
620152401320
73035066463
oct731425720
9278523113
10124136400
1164087573
12356a6240
131c9448bb
14126b52da
15ad71250
hex7662bd0

124136400 has 240 divisors, whose sum is σ = 425115648. Its totient is φ = 30912000.

The previous prime is 124136393. The next prime is 124136401. The reversal of 124136400 is 4631421.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124136401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1748365 + ... + 1748435.

Almost surely, 2124136400 is an apocalyptic number.

124136400 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 124136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212557824).

124136400 is an abundant number, since it is smaller than the sum of its proper divisors (300979248).

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

124136400 is a wasteful number, since it uses less digits than its factorization.

124136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 124136400 is about 11141.6515831361. The cubic root of 124136400 is about 498.8458713572.

Adding to 124136400 its reverse (4631421), we get a palindrome (128767821).

The spelling of 124136400 in words is "one hundred twenty-four million, one hundred thirty-six thousand, four hundred".