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121960530 = 232510113417
BaseRepresentation
bin1110100010011…
…11100001010010
322111111020101200
413101033201102
5222210214110
620034012030
73010435026
oct721174122
9274436350
10121960530
116293082a
1234a17016
131c3623c3
14122aa386
15aa916c0
hex744f852

121960530 has 48 divisors (see below), whose sum is σ = 320260824. Its totient is φ = 32198400.

The previous prime is 121960511. The next prime is 121960577. The reversal of 121960530 is 35069121.

121960530 is a `hidden beast` number, since 1 + 21 + 9 + 605 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115412049 + 6548481 = 10743^2 + 2559^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121960494 and 121960503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2382 + ... + 15798.

Almost surely, 2121960530 is an apocalyptic number.

121960530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121960530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160130412).

121960530 is an abundant number, since it is smaller than the sum of its proper divisors (198300294).

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

121960530 is a wasteful number, since it uses less digits than its factorization.

121960530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13531 (or 13528 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 121960530 is about 11043.5741497035. The cubic root of 121960530 is about 495.9140747140.

The spelling of 121960530 in words is "one hundred twenty-one million, nine hundred sixty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 13417 26834 40251 67085 80502 120753 134170 201255 241506 402510 603765 1207530 1355117 2710234 4065351 6775585 8130702 12196053 13551170 20326755 24392106 40653510 60980265 121960530