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120920832 = 2832311693
BaseRepresentation
bin1110011010100…
…01101100000000
322102112102012100
413031101230000
5221423431312
615555430400
72665544604
oct715215400
9272472170
10120920832
116229067a
12345b5400
131c08a0b6
14120b9504
15a9385dc
hex7351b00

120920832 has 108 divisors (see below), whose sum is σ = 360103744. Its totient is φ = 38983680.

The previous prime is 120920819. The next prime is 120920861. The reversal of 120920832 is 238029021.

It is a happy number.

It is a super-2 number, since 2×1209208322 = 29243695223144448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120920796 and 120920805.

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, 70578 + ... + 72270.

Almost surely, 2120920832 is an apocalyptic number.

120920832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180051872).

120920832 is an abundant number, since it is smaller than the sum of its proper divisors (239182912).

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

120920832 is a wasteful number, since it uses less digits than its factorization.

120920832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120920832 is about 10996.4008657378. The cubic root of 120920832 is about 494.5008497571.

Adding to 120920832 its reverse (238029021), we get a palindrome (358949853).

The spelling of 120920832 in words is "one hundred twenty million, nine hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1488 1693 1984 2232 2304 2976 3386 3968 4464 5079 5952 6772 7936 8928 10158 11904 13544 15237 17856 20316 23808 27088 30474 35712 40632 52483 54176 60948 71424 81264 104966 108352 121896 157449 162528 209932 216704 243792 314898 325056 419864 433408 472347 487584 629796 650112 839728 944694 975168 1259592 1300224 1679456 1889388 1950336 2519184 3358912 3778776 3900672 5038368 6717824 7557552 10076736 13435648 15115104 20153472 30230208 40306944 60460416 120920832