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121169448 = 233253113281
BaseRepresentation
bin1110011100011…
…10011000101000
322110000001020100
413032032120220
5222004410243
620005025400
73000631461
oct716163050
9273001210
10121169448
1162440444
12346b5260
131c1462ca
1412141d68
15a9870d3
hex738e628

121169448 has 96 divisors (see below), whose sum is σ = 338518440. Its totient is φ = 39137280.

The previous prime is 121169429. The next prime is 121169449. The reversal of 121169448 is 844961121.

It can be written as a sum of positive squares in 4 ways, for example, as 91814724 + 29354724 = 9582^2 + 5418^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121169449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431068 + ... + 431348.

Almost surely, 2121169448 is an apocalyptic number.

121169448 is a gapful number since it is divisible by the number (18) 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 121169448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169259220).

121169448 is an abundant number, since it is smaller than the sum of its proper divisors (217348992).

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

121169448 is a wasteful number, since it uses less digits than its factorization.

121169448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 121169448 is about 11007.6994871771. The cubic root of 121169448 is about 494.8395194496.

The spelling of 121169448 in words is "one hundred twenty-one million, one hundred sixty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 113 159 212 226 281 318 339 424 452 477 562 636 678 843 904 954 1017 1124 1272 1356 1686 1908 2034 2248 2529 2712 3372 3816 4068 5058 5989 6744 8136 10116 11978 14893 17967 20232 23956 29786 31753 35934 44679 47912 53901 59572 63506 71868 89358 95259 107802 119144 127012 134037 143736 178716 190518 215604 254024 268074 285777 357432 381036 431208 536148 571554 762072 1072296 1143108 1682909 2286216 3365818 5048727 6731636 10097454 13463272 15146181 20194908 30292362 40389816 60584724 121169448