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121686480 = 24325169009
BaseRepresentation
bin1110100000011…
…00100111010000
322110222022110200
413100030213100
5222122431410
620024055200
73005214036
oct720144720
9273868420
10121686480
1162763943
1234904500
131c297746
1412238556
15aa3a3c0
hex740c9d0

121686480 has 60 divisors (see below), whose sum is σ = 408666180. Its totient is φ = 32449536.

The previous prime is 121686479. The next prime is 121686503. The reversal of 121686480 is 84686121.

121686480 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 8 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46621584 + 75064896 = 6828^2 + 8664^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83785 + ... + 85224.

It is an arithmetic number, because the mean of its divisors is an integer number (6811103).

Almost surely, 2121686480 is an apocalyptic number.

121686480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121686480 is an abundant number, since it is smaller than the sum of its proper divisors (286979700).

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

121686480 is a wasteful number, since it uses less digits than its factorization.

121686480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169028 (or 169019 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 121686480 is about 11031.1595038781. The cubic root of 121686480 is about 495.5423501508.

The spelling of 121686480 in words is "one hundred twenty-one million, six hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 169009 338018 507027 676036 845045 1014054 1352072 1521081 1690090 2028108 2535135 2704144 3042162 3380180 4056216 5070270 6084324 6760360 7605405 8112432 10140540 12168648 13520720 15210810 20281080 24337296 30421620 40562160 60843240 121686480