Search a number
-
+
122421280 = 255898597
BaseRepresentation
bin1110100110000…
…00000000100000
322112100122102111
413103000000200
5222314440110
620051525104
73014364232
oct723000040
9275318374
10122421280
1163115a13
1234bb9794
131c494037
141238a252
15ab32e8a
hex74c0020

122421280 has 48 divisors (see below), whose sum is σ = 292503960. Its totient is φ = 48412672.

The previous prime is 122421241. The next prime is 122421281. The reversal of 122421280 is 82124221.

It can be written as a sum of positive squares in 4 ways, for example, as 92083216 + 30338064 = 9596^2 + 5508^2 .

It is not an unprimeable number, because it can be changed into a prime (122421281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9942 + ... + 18538.

Almost surely, 2122421280 is an apocalyptic number.

122421280 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 122421280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146251980).

122421280 is an abundant number, since it is smaller than the sum of its proper divisors (170082680).

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

122421280 is an equidigital number, since it uses as much as digits as its factorization.

122421280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8701 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 122421280 is about 11064.4150319843. The cubic root of 122421280 is about 496.5377881803.

The spelling of 122421280 in words is "one hundred twenty-two million, four hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 7120 8597 14240 17194 34388 42985 68776 85970 137552 171940 275104 343880 687760 765133 1375520 1530266 3060532 3825665 6121064 7651330 12242128 15302660 24484256 30605320 61210640 122421280