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120245312 = 26111091567
BaseRepresentation
bin1110010101011…
…00110001000000
322101021002120002
413022230301000
5221240322222
615533135132
72660032265
oct712546100
9271232502
10120245312
116196a0a0
123432a4a8
131bbb1795
1411d8126c
15a853392
hex72acc40

120245312 has 56 divisors (see below), whose sum is σ = 262859520. Its totient is φ = 54120960.

The previous prime is 120245309. The next prime is 120245327. The reversal of 120245312 is 213542021.

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 7 ways as a sum of consecutive naturals, for example, 75953 + ... + 77519.

It is an arithmetic number, because the mean of its divisors is an integer number (4693920).

Almost surely, 2120245312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131429760).

120245312 is an abundant number, since it is smaller than the sum of its proper divisors (142614208).

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

120245312 is a wasteful number, since it uses less digits than its factorization.

120245312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 120245312 is about 10965.6423432465. The cubic root of 120245312 is about 493.5782924380.

Adding to 120245312 its reverse (213542021), we get a palindrome (333787333).

The spelling of 120245312 in words is "one hundred twenty million, two hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 176 218 352 436 704 872 1199 1567 1744 2398 3134 3488 4796 6268 6976 9592 12536 17237 19184 25072 34474 38368 50144 68948 76736 100288 137896 170803 275792 341606 551584 683212 1103168 1366424 1878833 2732848 3757666 5465696 7515332 10931392 15030664 30061328 60122656 120245312