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124742466 = 232371571193
BaseRepresentation
bin1110110111101…
…10101101000010
322200201120111100
413123312231002
5223413224331
620213355230
73043202442
oct733665502
9280646440
10124742466
1164460952
1235938b16
131cac7714
14127d2122
15ae40ae6
hex76f6b42

124742466 has 48 divisors (see below), whose sum is σ = 279582264. Its totient is φ = 40165632.

The previous prime is 124742417. The next prime is 124742479. The reversal of 124742466 is 664247421.

124742466 is a `hidden beast` number, since 124 + 74 + 2 + 466 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116186841 + 8555625 = 10779^2 + 2925^2 .

It is a super-2 number, since 2×1247424662 = 31121365647522312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 124742466.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103966 + ... + 105158.

Almost surely, 2124742466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124742466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139791132).

124742466 is an abundant number, since it is smaller than the sum of its proper divisors (154839798).

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

124742466 is a wasteful number, since it uses less digits than its factorization.

124742466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1392 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 124742466 is about 11168.8166785922. The cubic root of 124742466 is about 499.6563852452.

Adding to 124742466 its reverse (664247421), we get a palindrome (788989887).

The spelling of 124742466 in words is "one hundred twenty-four million, seven hundred forty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 111 157 222 314 333 471 666 942 1193 1413 2386 2826 3579 5809 7158 10737 11618 17427 21474 34854 44141 52281 88282 104562 132423 187301 264846 374602 397269 561903 794538 1123806 1685709 3371418 6930137 13860274 20790411 41580822 62371233 124742466