Search a number
-
+
125578460 = 22571635503
BaseRepresentation
bin1110111110000…
…10110011011100
322202022001021002
413133002303130
5224122002320
620243325432
73053253650
oct737026334
9282261232
10125578460
1164981a57
1236080878
132002b0a7
141296ca60
15b058675
hex77c2cdc

125578460 has 48 divisors (see below), whose sum is σ = 303292416. Its totient is φ = 42783552.

The previous prime is 125578457. The next prime is 125578463. The reversal of 125578460 is 64875521.

It is an interprime number because it is at equal distance from previous prime (125578457) and next prime (125578463).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125578463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20069 + ... + 25571.

It is an arithmetic number, because the mean of its divisors is an integer number (6318592).

Almost surely, 2125578460 is an apocalyptic number.

125578460 is a gapful number since it is divisible by the number (10) 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 125578460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151646208).

125578460 is an abundant number, since it is smaller than the sum of its proper divisors (177713956).

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

125578460 is a wasteful number, since it uses less digits than its factorization.

125578460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 125578460 is about 11206.1795452331. The cubic root of 125578460 is about 500.7700933037.

The spelling of 125578460 in words is "one hundred twenty-five million, five hundred seventy-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 652 815 1141 1630 2282 3260 4564 5503 5705 11006 11410 22012 22820 27515 38521 55030 77042 110060 154084 192605 385210 770420 896989 1793978 3587956 4484945 6278923 8969890 12557846 17939780 25115692 31394615 62789230 125578460