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121620040 = 23517178853
BaseRepresentation
bin1110011111111…
…00011001001000
322110211221022221
413033330121020
5222113320130
620022423424
73004516243
oct717743110
9273757287
10121620040
1162718a33
1234891b74
131c273429
141221c25a
15aa2587a
hex73fc648

121620040 has 32 divisors (see below), whose sum is σ = 289743480. Its totient is φ = 45786112.

The previous prime is 121620029. The next prime is 121620043. The reversal of 121620040 is 40026121.

It can be written as a sum of positive squares in 4 ways, for example, as 113081956 + 8538084 = 10634^2 + 2922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121619996 and 121620023.

It is not an unprimeable number, because it can be changed into a prime (121620043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88747 + ... + 90106.

Almost surely, 2121620040 is an apocalyptic number.

121620040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121620040 is an abundant number, since it is smaller than the sum of its proper divisors (168123440).

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

121620040 is a wasteful number, since it uses less digits than its factorization.

121620040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178881 (or 178877 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 121620040 is about 11028.1476232412. The cubic root of 121620040 is about 495.4521461346.

Adding to 121620040 its reverse (40026121), we get a palindrome (161646161).

The spelling of 121620040 in words is "one hundred twenty-one million, six hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 178853 357706 715412 894265 1430824 1788530 3040501 3577060 6081002 7154120 12162004 15202505 24324008 30405010 60810020 121620040