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120822064 = 24111936131
BaseRepresentation
bin1110011001110…
…01100100110000
322102100101201021
413030321210300
5221412301224
615553345224
72664653626
oct714714460
9272311637
10120822064
1162223450
1234568214
131c05415c
1412091516
15a9191e4
hex7339930

120822064 has 40 divisors (see below), whose sum is σ = 268822080. Its totient is φ = 52027200.

The previous prime is 120822061. The next prime is 120822067. The reversal of 120822064 is 460228021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120822061) and next prime (120822067).

It is a super-2 number, since 2×1208220642 = 29195942298440192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120822061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14722 + ... + 21409.

It is an arithmetic number, because the mean of its divisors is an integer number (6720552).

Almost surely, 2120822064 is an apocalyptic number.

It is an amenable number.

120822064 is an abundant number, since it is smaller than the sum of its proper divisors (148000016).

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

120822064 is a wasteful number, since it uses less digits than its factorization.

120822064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36169 (or 36163 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 120822064 is about 10991.9090243688. The cubic root of 120822064 is about 494.3661771704.

The spelling of 120822064 in words is "one hundred twenty million, eight hundred twenty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 36131 72262 144524 289048 397441 578096 686489 794882 1372978 1589764 2745956 3179528 5491912 6359056 7551379 10983824 15102758 30205516 60411032 120822064