Search a number
-
+
125783440 = 2452954217
BaseRepresentation
bin1110111111101…
…00110110010000
322202200110102221
413133310312100
5224200032230
620251550424
73055066366
oct737646620
9282613387
10125783440
1165001a62
123615b414
13200a0493
14129c3636
15b09927a
hex77f4d90

125783440 has 40 divisors (see below), whose sum is σ = 302536440. Its totient is φ = 48577536.

The previous prime is 125783423. The next prime is 125783491. The reversal of 125783440 is 44387521.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 124456336 = 1152^2 + 11156^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 125783396 and 125783405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24789 + ... + 29428.

It is an arithmetic number, because the mean of its divisors is an integer number (7563411).

Almost surely, 2125783440 is an apocalyptic number.

125783440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125783440 is an abundant number, since it is smaller than the sum of its proper divisors (176753000).

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

125783440 is a wasteful number, since it uses less digits than its factorization.

125783440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54259 (or 54253 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 125783440 is about 11215.3216627968. The cubic root of 125783440 is about 501.0424119112.

The spelling of 125783440 in words is "one hundred twenty-five million, seven hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 54217 108434 216868 271085 433736 542170 867472 1084340 1572293 2168680 3144586 4337360 6289172 7861465 12578344 15722930 25156688 31445860 62891720 125783440