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1120661442 = 232294349927
BaseRepresentation
bin100001011001011…
…1110111111000010
32220002201111111100
41002302332333002
54243342131232
6303111355230
736525315345
oct10262767702
92802644440
101120661442
1152564758a
12273382b16
1314b2361a4
14a8b9a45c
15685b7c7c
hex42cbefc2

1120661442 has 48 divisors (see below), whose sum is σ = 2570293440. Its totient is φ = 352277856.

The previous prime is 1120661411. The next prime is 1120661459. The reversal of 1120661442 is 2441660211.

1120661442 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 6 + 614 + 42 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2518 + ... + 47409.

It is an arithmetic number, because the mean of its divisors is an integer number (53547780).

Almost surely, 21120661442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120661442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285146720).

1120661442 is an abundant number, since it is smaller than the sum of its proper divisors (1449631998).

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

1120661442 is a wasteful number, since it uses less digits than its factorization.

1120661442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50007 (or 50004 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1120661442 is about 33476.2817827787. The cubic root of 1120661442 is about 1038.7032166673.

The spelling of 1120661442 in words is "one billion, one hundred twenty million, six hundred sixty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 129 174 258 261 387 522 774 1247 2494 3741 7482 11223 22446 49927 99854 149781 299562 449343 898686 1447883 2146861 2895766 4293722 4343649 6440583 8687298 12881166 13030947 19321749 26061894 38643498 62258969 124517938 186776907 373553814 560330721 1120661442