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121468074 = 237132109157
BaseRepresentation
bin1110011110101…
…11010010101010
322110120012212120
413033113102222
5222043434244
620015252110
73003314220
oct717272252
9273505776
10121468074
1162624842
123481a036
131c21c200
14121bcb10
15a9e5819
hex73d74aa

121468074 has 96 divisors (see below), whose sum is σ = 305331840. Its totient is φ = 31539456.

The previous prime is 121468057. The next prime is 121468091. The reversal of 121468074 is 470864121.

It is an interprime number because it is at equal distance from previous prime (121468057) and next prime (121468091).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773604 + ... + 773760.

It is an arithmetic number, because the mean of its divisors is an integer number (3180540).

Almost surely, 2121468074 is an apocalyptic number.

121468074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121468074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152665920).

121468074 is an abundant number, since it is smaller than the sum of its proper divisors (183863766).

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

121468074 is a wasteful number, since it uses less digits than its factorization.

121468074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 121468074 is about 11021.2555546090. The cubic root of 121468074 is about 495.2457019169.

The spelling of 121468074 in words is "one hundred twenty-one million, four hundred sixty-eight thousand, seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 109 157 169 182 218 273 314 327 338 471 507 546 654 763 942 1014 1099 1183 1417 1526 2041 2198 2289 2366 2834 3297 3549 4082 4251 4578 6123 6594 7098 8502 9919 12246 14287 17113 18421 19838 26533 28574 29757 34226 36842 42861 51339 53066 55263 59514 79599 85722 102678 110526 119791 128947 159198 185731 222469 239582 257894 359373 371462 386841 444938 557193 667407 718746 773682 1114386 1334814 1557283 2892097 3114566 4671849 5784194 8676291 9343698 17352582 20244679 40489358 60734037 121468074