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121849056 = 2533720147
BaseRepresentation
bin1110100001101…
…00010011100000
322111021120111000
413100310103200
5222143132211
620031352000
73006462030
oct720642340
9274246430
10121849056
1162864aaa
1234982600
131c323744
141227b8c0
15aa6d656
hex74344e0

121849056 has 96 divisors (see below), whose sum is σ = 406183680. Its totient is φ = 34812288.

The previous prime is 121849043. The next prime is 121849069. The reversal of 121849056 is 650948121.

It is an interprime number because it is at equal distance from previous prime (121849043) and next prime (121849069).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1218490562 = 29694384896182272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121849056.

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 15 ways as a sum of consecutive naturals, for example, 4026 + ... + 16121.

It is an arithmetic number, because the mean of its divisors is an integer number (4231080).

Almost surely, 2121849056 is an apocalyptic number.

121849056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121849056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203091840).

121849056 is an abundant number, since it is smaller than the sum of its proper divisors (284334624).

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

121849056 is a wasteful number, since it uses less digits than its factorization.

121849056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20173 (or 20159 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 121849056 is about 11038.5259885548. The cubic root of 121849056 is about 495.7629373559.

The spelling of 121849056 in words is "one hundred twenty-one million, eight hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 20147 40294 60441 80588 120882 141029 161176 181323 241764 282058 322352 362646 423087 483528 543969 564116 644704 725292 846174 967056 1087938 1128232 1269261 1450584 1692348 1934112 2175876 2256464 2538522 2901168 3384696 3807783 4351752 4512928 5077044 5802336 6769392 7615566 8703504 10154088 13538784 15231132 17407008 20308176 30462264 40616352 60924528 121849056