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125399772 = 223319232657
BaseRepresentation
bin1110111100101…
…11001011011100
322201221222011000
413132113023130
5224100243042
620235430300
73051611001
oct736271334
9281858130
10125399772
116486a783
1235bb5390
131cc97964
14129238a8
15b02074c
hex77972dc

125399772 has 96 divisors (see below), whose sum is σ = 357235200. Its totient is φ = 37863936.

The previous prime is 125399767. The next prime is 125399779. The reversal of 125399772 is 277993521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125399779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45868 + ... + 48524.

It is an arithmetic number, because the mean of its divisors is an integer number (3721200).

Almost surely, 2125399772 is an apocalyptic number.

125399772 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 125399772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178617600).

125399772 is an abundant number, since it is smaller than the sum of its proper divisors (231835428).

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

125399772 is a wasteful number, since it uses less digits than its factorization.

125399772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2704 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 125399772 is about 11198.2039631362. The cubic root of 125399772 is about 500.5324621003.

It can be divided in two parts, 1253 and 99772, that added together give a triangular number (101025 = T449).

The spelling of 125399772 in words is "one hundred twenty-five million, three hundred ninety-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 92 108 114 138 171 207 228 276 342 414 437 513 621 684 828 874 1026 1242 1311 1748 2052 2484 2622 2657 3933 5244 5314 7866 7971 10628 11799 15732 15942 23598 23913 31884 47196 47826 50483 61111 71739 95652 100966 122222 143478 151449 183333 201932 244444 286956 302898 366666 454347 549999 605796 733332 908694 1099998 1161109 1363041 1649997 1817388 2199996 2322218 2726082 3299994 3483327 4644436 5452164 6599988 6966654 10449981 13933308 20899962 31349943 41799924 62699886 125399772