Search a number
-
+
125104392 = 2333797853
BaseRepresentation
bin1110111010011…
…11000100001000
322201101221222000
413131033010020
5224011320032
620225231000
73046240560
oct735170410
9281357860
10125104392
1164688866
1235a92460
131cbc338a
1412887da0
15aeb2e7c
hex774f108

125104392 has 128 divisors (see below), whose sum is σ = 401721600. Its totient is φ = 35334144.

The previous prime is 125104373. The next prime is 125104393. The reversal of 125104392 is 293401521.

It is a super-2 number, since 2×1251043922 = 31302217795379328, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (125104393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146238 + ... + 147090.

It is an arithmetic number, because the mean of its divisors is an integer number (3138450).

Almost surely, 2125104392 is an apocalyptic number.

125104392 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 125104392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200860800).

125104392 is an abundant number, since it is smaller than the sum of its proper divisors (276617208).

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

125104392 is a wasteful number, since it uses less digits than its factorization.

125104392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 125104392 is about 11185.0074653529. The cubic root of 125104392 is about 500.1391506040.

The spelling of 125104392 in words is "one hundred twenty-five million, one hundred four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 97 108 126 168 189 194 216 252 291 378 388 504 582 679 756 776 853 873 1164 1358 1512 1706 1746 2037 2328 2559 2619 2716 3412 3492 4074 5118 5238 5432 5971 6111 6824 6984 7677 8148 10236 10476 11942 12222 15354 16296 17913 18333 20472 20952 23031 23884 24444 30708 35826 36666 46062 47768 48888 53739 61416 71652 73332 82741 92124 107478 143304 146664 161217 165482 184248 214956 248223 322434 330964 429912 496446 579187 644868 661928 744669 992892 1158374 1289736 1489338 1737561 1985784 2234007 2316748 2978676 3475122 4468014 4633496 5212683 5957352 6950244 8936028 10425366 13900488 15638049 17872056 20850732 31276098 41701464 62552196 125104392