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123342080 = 285173557
BaseRepresentation
bin1110101101000…
…00110100000000
322121002102112012
413112200310000
5223033421310
620123352052
73025250621
oct726406400
9277072465
10123342080
1163694804
1235382628
131c7271a4
1412549a48
15ac65c05
hex75a0d00

123342080 has 72 divisors (see below), whose sum is σ = 297684072. Its totient is φ = 48963584.

The previous prime is 123342073. The next prime is 123342097. The reversal of 123342080 is 80243321.

It can be written as a sum of positive squares in 4 ways, for example, as 12166144 + 111175936 = 3488^2 + 10544^2 .

It is a congruent number.

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, 221162 + ... + 221718.

It is an arithmetic number, because the mean of its divisors is an integer number (4134501).

Almost surely, 2123342080 is an apocalyptic number.

123342080 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 123342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148842036).

123342080 is an abundant number, since it is smaller than the sum of its proper divisors (174341992).

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

123342080 is an equidigital number, since it uses as much as digits as its factorization.

123342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 123342080 is about 11105.9479559378. The cubic root of 123342080 is about 497.7795941922.

The spelling of 123342080 in words is "one hundred twenty-three million, three hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 173 256 320 346 557 640 692 865 1114 1280 1384 1730 2228 2768 2785 3460 4456 5536 5570 6920 8912 11072 11140 13840 17824 22144 22280 27680 35648 44288 44560 55360 71296 89120 96361 110720 142592 178240 192722 221440 356480 385444 481805 712960 770888 963610 1541776 1927220 3083552 3854440 6167104 7708880 12334208 15417760 24668416 30835520 61671040 123342080