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121768074 = 23219463769
BaseRepresentation
bin1110100001000…
…00100010001010
322111010110101200
413100200202022
5222133034244
620025525030
73006003651
oct720404212
9274113350
10121768074
116280a17a
1234943776
131c2c591c
141225a198
15aa54669
hex742088a

121768074 has 48 divisors (see below), whose sum is σ = 278678400. Its totient is φ = 38320128.

The previous prime is 121768069. The next prime is 121768081. The reversal of 121768074 is 470867121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157962 + ... + 158730.

It is an arithmetic number, because the mean of its divisors is an integer number (5805800).

Almost surely, 2121768074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121768074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139339200).

121768074 is an abundant number, since it is smaller than the sum of its proper divisors (156910326).

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

121768074 is a wasteful number, since it uses less digits than its factorization.

121768074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 121768074 is about 11034.8572260814. The cubic root of 121768074 is about 495.6530834842.

The spelling of 121768074 in words is "one hundred twenty-one million, seven hundred sixty-eight thousand, seventy-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 463 769 926 1389 1538 2307 2778 4167 4614 6921 8334 8797 13842 14611 17594 26391 29222 43833 52782 79173 87666 131499 158346 262998 356047 712094 1068141 2136282 3204423 6408846 6764893 13529786 20294679 40589358 60884037 121768074