Search a number
-
+
122078208 = 210372811
BaseRepresentation
bin1110100011011…
…00010000000000
322111201012211010
413101230100000
5222223000313
620040320520
73011435100
oct721542000
9274635733
10122078208
1162a0118a
1234a73140
131c3a3b35
14122db200
15aab64c3
hex746c400

122078208 has 132 divisors (see below), whose sum is σ = 378973392. Its totient is φ = 34836480.

The previous prime is 122078167. The next prime is 122078213. The reversal of 122078208 is 802870221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150123 + ... + 150933.

Almost surely, 2122078208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122078208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189486696).

122078208 is an abundant number, since it is smaller than the sum of its proper divisors (256895184).

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

122078208 is an equidigital number, since it uses as much as digits as its factorization.

122078208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 122078208 is about 11048.9007598041. The cubic root of 122078208 is about 496.0735236135.

The spelling of 122078208 in words is "one hundred twenty-two million, seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 811 896 1024 1176 1344 1536 1568 1622 1792 2352 2433 2688 3072 3136 3244 3584 4704 4866 5376 5677 6272 6488 7168 9408 9732 10752 11354 12544 12976 17031 18816 19464 21504 22708 25088 25952 34062 37632 38928 39739 45416 50176 51904 68124 75264 77856 79478 90832 103808 119217 136248 150528 155712 158956 181664 207616 238434 272496 311424 317912 363328 415232 476868 544992 622848 635824 726656 830464 953736 1089984 1245696 1271648 1453312 1907472 2179968 2491392 2543296 2906624 3814944 4359936 5086592 5813248 7629888 8719872 10173184 15259776 17439744 20346368 30519552 40692736 61039104 122078208