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124144164 = 22346192
BaseRepresentation
bin1110110011001…
…00101000100100
322122121011210000
413121210220210
5223240103124
620152501300
73035131224
oct731445044
9278534700
10124144164
1164092391
12356aa830
131c9482b1
14126b8084
15ad736c9
hex7664a24

124144164 has 45 divisors (see below), whose sum is σ = 325062507. Its totient is φ = 41314536.

The previous prime is 124144127. The next prime is 124144169. The reversal of 124144164 is 461441421.

The square root of 124144164 is 11142.

It is a perfect power (a square), and thus also a powerful number.

124144164 is a `hidden beast` number, since 1 + 241 + 4 + 416 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (124144169) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 200247 + ... + 200865.

Almost surely, 2124144164 is an apocalyptic number.

124144164 is the 11142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124144164

124144164 is an abundant number, since it is smaller than the sum of its proper divisors (200918343).

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

124144164 is an frugal number, since it uses more digits than its factorization.

124144164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 624 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The cubic root of 124144164 is about 498.8562710966.

Adding to 124144164 its reverse (461441421), we get a palindrome (585585585).

The spelling of 124144164 in words is "one hundred twenty-four million, one hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 619 1238 1857 2476 3714 5571 7428 11142 16713 22284 33426 50139 66852 100278 200556 383161 766322 1149483 1532644 2298966 3448449 4597932 6896898 10345347 13793796 20690694 31036041 41381388 62072082 124144164