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1120482072 = 2334832251
BaseRepresentation
bin100001011001001…
…0011001100011000
32220002101101110000
41002302103030120
54243320411242
6303103453000
736523640403
oct10262231430
92802341400
101120482072
11525534846
122732b7160
1314b1a2658
14a8b50d3a
156857ea4c
hex42c93318

1120482072 has 120 divisors (see below), whose sum is σ = 3189310740. Its totient is φ = 367524000.

The previous prime is 1120482059. The next prime is 1120482113. The reversal of 1120482072 is 2702840211.

1120482072 is a `hidden beast` number, since 112 + 0 + 482 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4463947 + ... + 4464197.

Almost surely, 21120482072 is an apocalyptic number.

1120482072 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 1120482072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594655370).

1120482072 is an abundant number, since it is smaller than the sum of its proper divisors (2068828668).

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

1120482072 is an equidigital number, since it uses as much as digits as its factorization.

1120482072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1120482072 is about 33473.6026145977. The cubic root of 1120482072 is about 1038.6477963801.

The spelling of 1120482072 in words is "one billion, one hundred twenty million, four hundred eighty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 249 251 324 332 498 502 648 664 747 753 996 1004 1494 1506 1992 2008 2241 2259 2988 3012 4482 4518 5976 6024 6723 6777 6889 8964 9036 13446 13554 13778 17928 18072 20331 20667 20833 26892 27108 27556 40662 41334 41666 53784 54216 55112 62001 62499 81324 82668 83332 124002 124998 162648 165336 166664 186003 187497 248004 249996 372006 374994 496008 499992 558009 562491 744012 749988 1116018 1124982 1488024 1499976 1687473 1729139 2232036 2249964 3374946 3458278 4464072 4499928 5187417 6749892 6916556 10374834 13499784 13833112 15562251 20749668 31124502 41499336 46686753 62249004 93373506 124498008 140060259 186747012 280120518 373494024 560241036 1120482072