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121616208 = 24337131307
BaseRepresentation
bin1110011111110…
…11011101010000
322110211202002000
413033323131100
5222113204313
620022354000
73004502130
oct717733520
9273752060
10121616208
116271606a
123488b900
131c27176c
141221aac0
15aa24673
hex73fb750

121616208 has 160 divisors (see below), whose sum is σ = 403307520. Its totient is φ = 34369920.

The previous prime is 121616191. The next prime is 121616219. The reversal of 121616208 is 802616121.

121616208 is a `hidden beast` number, since 1 + 21 + 616 + 20 + 8 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395991 + ... + 396297.

It is an arithmetic number, because the mean of its divisors is an integer number (2520672).

Almost surely, 2121616208 is an apocalyptic number.

121616208 is a gapful number since it is divisible by the number (18) 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 121616208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201653760).

121616208 is an abundant number, since it is smaller than the sum of its proper divisors (281691312).

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

121616208 is a wasteful number, since it uses less digits than its factorization.

121616208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 121616208 is about 11027.9738846263. The cubic root of 121616208 is about 495.4469425170.

It can be divided in two parts, 1216 and 16208, that added together give a square (17424 = 1322).

The spelling of 121616208 in words is "one hundred twenty-one million, six hundred sixteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 131 144 168 189 216 252 262 307 336 378 393 432 504 524 614 756 786 917 921 1008 1048 1179 1228 1512 1572 1834 1842 2096 2149 2358 2456 2751 2763 3024 3144 3537 3668 3684 4298 4716 4912 5502 5526 6288 6447 7074 7336 7368 8253 8289 8596 9432 11004 11052 12894 14148 14672 14736 16506 16578 17192 18864 19341 22008 22104 24759 25788 28296 33012 33156 34384 38682 40217 44016 44208 49518 51576 56592 58023 66024 66312 77364 80434 99036 103152 116046 120651 132048 132624 154728 160868 198072 232092 241302 281519 309456 321736 361953 396144 464184 482604 563038 643472 723906 844557 928368 965208 1085859 1126076 1447812 1689114 1930416 2171718 2252152 2533671 2895624 3378228 4343436 4504304 5067342 5791248 6756456 7601013 8686872 10134684 13512912 15202026 17373744 20269368 30404052 40538736 60808104 121616208