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121746720 = 2535253639
BaseRepresentation
bin1110100000110…
…11010100100000
322111002101002210
413100123110200
5222131343340
620025242120
73005554464
oct720332440
9274071083
10121746720
11627a5127
1234933340
131c2b8ca4
14122524a4
15aa4d180
hex741b520

121746720 has 48 divisors (see below), whose sum is σ = 383503680. Its totient is φ = 32465664.

The previous prime is 121746719. The next prime is 121746733. The reversal of 121746720 is 27647121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 126340 + ... + 127299.

It is an arithmetic number, because the mean of its divisors is an integer number (7989660).

Almost surely, 2121746720 is an apocalyptic number.

121746720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121746720 is an abundant number, since it is smaller than the sum of its proper divisors (261756960).

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

121746720 is a wasteful number, since it uses less digits than its factorization.

121746720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253657 (or 253649 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 121746720 is about 11033.8896133684. The cubic root of 121746720 is about 495.6241081971.

The spelling of 121746720 in words is "one hundred twenty-one million, seven hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 253639 507278 760917 1014556 1268195 1521834 2029112 2536390 3043668 3804585 4058224 5072780 6087336 7609170 8116448 10145560 12174672 15218340 20291120 24349344 30436680 40582240 60873360 121746720