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121805136 = 24321749757
BaseRepresentation
bin1110100001010…
…01100101010000
322111012100020100
413100221211100
5222140231021
620030412400
73006220005
oct720514520
9274170210
10121805136
1162835002
1234961100
131c30975b
14122698ac
15aa60626
hex7429950

121805136 has 60 divisors (see below), whose sum is σ = 360944532. Its totient is φ = 38212608.

The previous prime is 121805113. The next prime is 121805141. The reversal of 121805136 is 631508121.

It can be written as a sum of positive squares in 2 ways, for example, as 38192400 + 83612736 = 6180^2 + 9144^2 .

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 11 ways as a sum of consecutive naturals, for example, 22431 + ... + 27326.

Almost surely, 2121805136 is an apocalyptic number.

121805136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121805136 is an abundant number, since it is smaller than the sum of its proper divisors (239139396).

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

121805136 is a wasteful number, since it uses less digits than its factorization.

121805136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49788 (or 49779 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 121805136 is about 11036.5364132050. The cubic root of 121805136 is about 495.7033649485.

The spelling of 121805136 in words is "one hundred twenty-one million, eight hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 49757 99514 149271 199028 298542 398056 447813 597084 796112 845869 895626 1194168 1691738 1791252 2388336 2537607 3383476 3582504 5075214 6766952 7165008 7612821 10150428 13533904 15225642 20300856 30451284 40601712 60902568 121805136