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121684725 = 325217291097
BaseRepresentation
bin1110100000011…
…00001011110101
322110222020001200
413100030023311
5222122402400
620024043113
73005205651
oct720141365
9273866050
10121684725
1162762598
1234903499
131c2969c6
1412237a61
15aa39b00
hex740c2f5

121684725 has 72 divisors (see below), whose sum is σ = 238946760. Its totient is φ = 58920960.

The previous prime is 121684687. The next prime is 121684729. The reversal of 121684725 is 527486121.

121684725 is a `hidden beast` number, since 121 + 68 + 472 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 26563716 + 95121009 = 5154^2 + 9753^2 .

It is not a de Polignac number, because 121684725 - 28 = 121684469 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121684725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121684729) 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 71 ways as a sum of consecutive naturals, for example, 110377 + ... + 111473.

It is an arithmetic number, because the mean of its divisors is an integer number (3318705).

Almost surely, 2121684725 is an apocalyptic number.

121684725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121684725 is a deficient number, since it is larger than the sum of its proper divisors (117262035).

121684725 is a wasteful number, since it uses less digits than its factorization.

121684725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 121684725 is about 11031.0799561965. The cubic root of 121684725 is about 495.5399678511.

The spelling of 121684725 in words is "one hundred twenty-one million, six hundred eighty-four thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 29 45 51 75 85 87 145 153 225 255 261 425 435 493 725 765 1097 1275 1305 1479 2175 2465 3291 3825 4437 5485 6525 7395 9873 12325 16455 18649 22185 27425 31813 36975 49365 55947 82275 93245 95439 110925 159065 167841 246825 279735 286317 466225 477195 540821 795325 839205 1398675 1431585 1622463 2385975 2704105 4196025 4867389 7157925 8112315 13520525 24336945 40561575 121684725