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121457440 = 2551358393
BaseRepresentation
bin1110011110101…
…00101100100000
322110112200021201
413033110230200
5222043114230
620015130544
73003241216
oct717245440
9273480251
10121457440
1162617855
1234813a54
131c217410
14121b8cb6
15a9e25ca
hex73d4b20

121457440 has 48 divisors (see below), whose sum is σ = 309021048. Its totient is φ = 44845056.

The previous prime is 121457437. The next prime is 121457491. The reversal of 121457440 is 44754121.

It can be written as a sum of positive squares in 4 ways, for example, as 58920976 + 62536464 = 7676^2 + 7908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121457399 and 121457408.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27117 + ... + 31276.

Almost surely, 2121457440 is an apocalyptic number.

121457440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121457440 is an abundant number, since it is smaller than the sum of its proper divisors (187563608).

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

121457440 is a wasteful number, since it uses less digits than its factorization.

121457440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58421 (or 58413 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 121457440 is about 11020.7731126269. The cubic root of 121457440 is about 495.2312492949.

The spelling of 121457440 in words is "one hundred twenty-one million, four hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 58393 116786 233572 291965 467144 583930 759109 934288 1167860 1518218 1868576 2335720 3036436 3795545 4671440 6072872 7591090 9342880 12145744 15182180 24291488 30364360 60728720 121457440