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121383648 = 2532421471
BaseRepresentation
bin1110011110000…
…10101011100000
322110101221001200
413033002223200
5222033234043
620013401200
73002513121
oct717025340
9273357050
10121383648
1162577371
1234799200
131c1bc959
141219a048
15a9ca7d3
hex73c2ae0

121383648 has 36 divisors (see below), whose sum is σ = 345185568. Its totient is φ = 40461120.

The previous prime is 121383641. The next prime is 121383649. The reversal of 121383648 is 846383121.

121383648 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 8 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121383641) 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 5 ways as a sum of consecutive naturals, for example, 210448 + ... + 211023.

It is an arithmetic number, because the mean of its divisors is an integer number (9588488).

Almost surely, 2121383648 is an apocalyptic number.

121383648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121383648 is an abundant number, since it is smaller than the sum of its proper divisors (223801920).

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

121383648 is a wasteful number, since it uses less digits than its factorization.

121383648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421487 (or 421476 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 121383648 is about 11017.4247444673. The cubic root of 121383648 is about 495.1309356715.

The spelling of 121383648 in words is "one hundred twenty-one million, three hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 421471 842942 1264413 1685884 2528826 3371768 3793239 5057652 6743536 7586478 10115304 13487072 15172956 20230608 30345912 40461216 60691824 121383648