Search a number
-
+
123256250 = 255133741
BaseRepresentation
bin1110101100010…
…11110110111010
322120221001210022
413112023312322
5223023200000
620121450442
73024442445
oct726136672
9276831708
10123256250
1163636277
1235340a22
131c6c70c0
141252665c
15ac4a585
hex758bdba

123256250 has 96 divisors (see below), whose sum is σ = 261826992. Its totient is φ = 43200000.

The previous prime is 123256247. The next prime is 123256253. The reversal of 123256250 is 52652321.

It is an interprime number because it is at equal distance from previous prime (123256247) and next prime (123256253).

It can be written as a sum of positive squares in 24 ways, for example, as 119268241 + 3988009 = 10921^2 + 1997^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123256253) 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 47 ways as a sum of consecutive naturals, for example, 3006230 + ... + 3006270.

Almost surely, 2123256250 is an apocalyptic number.

123256250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123256250 is an abundant number, since it is smaller than the sum of its proper divisors (138570742).

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

123256250 is an equidigital number, since it uses as much as digits as its factorization.

123256250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 123256250 is about 11102.0831378620. The cubic root of 123256250 is about 497.6641041755.

The spelling of 123256250 in words is "one hundred twenty-three million, two hundred fifty-six thousand, two hundred fifty".

Divisors: 1 2 5 10 13 25 26 37 41 50 65 74 82 125 130 185 205 250 325 370 410 481 533 625 650 925 962 1025 1066 1250 1517 1625 1850 2050 2405 2665 3034 3125 3250 4625 4810 5125 5330 6250 7585 8125 9250 10250 12025 13325 15170 16250 19721 23125 24050 25625 26650 37925 39442 40625 46250 51250 60125 66625 75850 81250 98605 115625 120250 128125 133250 189625 197210 231250 256250 300625 333125 379250 493025 601250 666250 948125 986050 1503125 1665625 1896250 2465125 3006250 3331250 4740625 4930250 9481250 12325625 24651250 61628125 123256250