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1120020216 = 233726325349
BaseRepresentation
bin100001011000010…
…0010011011111000
32220001111220220020
41002300202123320
54243211121331
6303045530440
736520005030
oct10260423370
92801456806
101120020216
11525249847
12273113a20
1314b070373
14a8a708c0
15684dcc96
hex42c226f8

1120020216 has 64 divisors (see below), whose sum is σ = 3212352000. Its totient is φ = 318776448.

The previous prime is 1120020193. The next prime is 1120020277. The reversal of 1120020216 is 6120200211.

It is a junction number, because it is equal to n+sod(n) for n = 1120020195 and 1120020204.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 31510 + ... + 56858.

It is an arithmetic number, because the mean of its divisors is an integer number (50193000).

Almost surely, 21120020216 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 1120020216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606176000).

1120020216 is an abundant number, since it is smaller than the sum of its proper divisors (2092331784).

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

1120020216 is a wasteful number, since it uses less digits than its factorization.

1120020216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25628 (or 25624 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1120020216 is about 33466.7030942697. The cubic root of 1120020216 is about 1038.5050686339.

Adding to 1120020216 its reverse (6120200211), we get a palindrome (7240220427).

The spelling of 1120020216 in words is "one billion, one hundred twenty million, twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 263 526 789 1052 1578 1841 2104 3156 3682 5523 6312 7364 11046 14728 22092 25349 44184 50698 76047 101396 152094 177443 202792 304188 354886 532329 608376 709772 1064658 1419544 2129316 4258632 6666787 13333574 20000361 26667148 40000722 46667509 53334296 80001444 93335018 140002527 160002888 186670036 280005054 373340072 560010108 1120020216