Search a number
-
+
124097028 = 223118571097
BaseRepresentation
bin1110110010110…
…01001000000100
322122111210010020
413121121020010
5223232101103
620151455140
73034543626
oct731311004
9278453106
10124097028
116405aa30
12356874b0
131c92c9c3
14126a4c16
15ad64753
hex7659204

124097028 has 48 divisors (see below), whose sum is σ = 316540224. Its totient is φ = 37527040.

The previous prime is 124097027. The next prime is 124097033. The reversal of 124097028 is 820790421.

It is a happy number.

124097028 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1240970283 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

124097028 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 124097028.

It is not an unprimeable number, because it can be changed into a prime (124097021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112576 + ... + 113672.

It is an arithmetic number, because the mean of its divisors is an integer number (6594588).

Almost surely, 2124097028 is an apocalyptic number.

It is an amenable number.

124097028 is an abundant number, since it is smaller than the sum of its proper divisors (192443196).

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

124097028 is a wasteful number, since it uses less digits than its factorization.

124097028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 124097028 is about 11139.8845595455. The cubic root of 124097028 is about 498.7931265903.

The spelling of 124097028 in words is "one hundred twenty-four million, ninety-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 857 1097 1714 2194 2571 3291 3428 4388 5142 6582 9427 10284 12067 13164 18854 24134 28281 36201 37708 48268 56562 72402 113124 144804 940129 1880258 2820387 3760516 5640774 10341419 11281548 20682838 31024257 41365676 62048514 124097028