Search a number
-
+
124069392 = 243219137331
BaseRepresentation
bin1110110010100…
…10011000010000
322122110101012200
413121102120100
5223230210032
620151123200
73034400226
oct731223020
9278411180
10124069392
1164041197
1235673500
131c920255
1412698b16
15ad5b47c
hex7652610

124069392 has 120 divisors (see below), whose sum is σ = 369276960. Its totient is φ = 38776320.

The previous prime is 124069381. The next prime is 124069423. The reversal of 124069392 is 293960421.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 374667 + ... + 374997.

It is an arithmetic number, because the mean of its divisors is an integer number (3077308).

Almost surely, 2124069392 is an apocalyptic number.

124069392 is a gapful number since it is divisible by the number (12) 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 124069392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184638480).

124069392 is an abundant number, since it is smaller than the sum of its proper divisors (245207568).

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

124069392 is a wasteful number, since it uses less digits than its factorization.

124069392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 124069392 is about 11138.6440826521. The cubic root of 124069392 is about 498.7560973118.

The spelling of 124069392 in words is "one hundred twenty-four million, sixty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 137 144 152 171 228 274 304 331 342 411 456 548 662 684 822 912 993 1096 1233 1324 1368 1644 1986 2192 2466 2603 2648 2736 2979 3288 3972 4932 5206 5296 5958 6289 6576 7809 7944 9864 10412 11916 12578 15618 15888 18867 19728 20824 23427 23832 25156 31236 37734 41648 45347 46854 47664 50312 56601 62472 75468 90694 93708 100624 113202 124944 136041 150936 181388 187416 226404 272082 301872 362776 374832 408123 452808 544164 725552 816246 861593 905616 1088328 1632492 1723186 2176656 2584779 3264984 3446372 5169558 6529968 6892744 7754337 10339116 13785488 15508674 20678232 31017348 41356464 62034696 124069392