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121946976 = 2532423427
BaseRepresentation
bin1110100010011…
…00001101100000
322111110112210200
413101030031200
5222204300401
620033425200
73010350354
oct721141540
9274415720
10121946976
1162921628
1234a0b200
131c359198
14122a5464
15aa8c686
hex744c360

121946976 has 36 divisors (see below), whose sum is σ = 346787532. Its totient is φ = 40648896.

The previous prime is 121946971. The next prime is 121946977. The reversal of 121946976 is 679649121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121946971) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 211426 + ... + 212001.

It is an arithmetic number, because the mean of its divisors is an integer number (9632987).

Almost surely, 2121946976 is an apocalyptic number.

121946976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121946976 is an abundant number, since it is smaller than the sum of its proper divisors (224840556).

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

121946976 is a wasteful number, since it uses less digits than its factorization.

121946976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423443 (or 423432 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 121946976 is about 11042.9604726269. The cubic root of 121946976 is about 495.8957030097.

The spelling of 121946976 in words is "one hundred twenty-one million, nine hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 423427 846854 1270281 1693708 2540562 3387416 3810843 5081124 6774832 7621686 10162248 13549664 15243372 20324496 30486744 40648992 60973488 121946976