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123201280 = 285293319
BaseRepresentation
bin1110101011111…
…10011100000000
322120211021101101
413111332130000
5223014420110
620120344144
73024123256
oct725763400
9276737341
10123201280
11635a8a44
1235315054
131c6a8087
14125105d6
15ac3913a
hex757e700

123201280 has 72 divisors (see below), whose sum is σ = 305373600. Its totient is φ = 47566848.

The previous prime is 123201257. The next prime is 123201289. The reversal of 123201280 is 82102321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123201289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35461 + ... + 38779.

It is an arithmetic number, because the mean of its divisors is an integer number (4241300).

Almost surely, 2123201280 is an apocalyptic number.

123201280 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 123201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152686800).

123201280 is an abundant number, since it is smaller than the sum of its proper divisors (182172320).

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

123201280 is an equidigital number, since it uses as much as digits as its factorization.

123201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 123201280 is about 11099.6072002571. The cubic root of 123201280 is about 497.5901101897.

The spelling of 123201280 in words is "one hundred twenty-three million, two hundred one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 580 640 928 1160 1280 1856 2320 3319 3712 4640 6638 7424 9280 13276 16595 18560 26552 33190 37120 53104 66380 96251 106208 132760 192502 212416 265520 385004 424832 481255 531040 770008 849664 962510 1062080 1540016 1925020 2124160 3080032 3850040 4248320 6160064 7700080 12320128 15400160 24640256 30800320 61600640 123201280