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1053062032 = 241123761241
BaseRepresentation
bin111110110001000…
…111001110010000
32201101112002112111
4332301013032100
54124040441112
6252254435104
735044610461
oct7661071620
92641462474
101053062032
114a0476100
12254802a94
1313a228239
149dc00d68
15626b35a7
hex3ec47390

1053062032 has 120 divisors (see below), whose sum is σ = 2350736696. Its totient is φ = 456192000.

The previous prime is 1053061993. The next prime is 1053062041. The reversal of 1053062032 is 2302603501.

1053062032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 199487376 + 853574656 = 14124^2 + 29216^2 .

It is a super-2 number, since 2×10530620322 = 2217879286479938048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1053061994 and 1053062012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4369432 + ... + 4369672.

Almost surely, 21053062032 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 1053062032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175368348).

1053062032 is an abundant number, since it is smaller than the sum of its proper divisors (1297674664).

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

1053062032 is a wasteful number, since it uses less digits than its factorization.

1053062032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1053062032 is about 32450.9172751711. The cubic root of 1053062032 is about 1017.3834100645.

Adding to 1053062032 its reverse (2302603501), we get a palindrome (3355665533).

The spelling of 1053062032 in words is "one billion, fifty-three million, sixty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 37 44 61 74 88 121 122 148 176 241 242 244 296 407 482 484 488 592 671 814 964 968 976 1342 1628 1928 1936 2257 2651 2684 3256 3856 4477 4514 5302 5368 6512 7381 8917 8954 9028 10604 10736 14701 14762 17834 17908 18056 21208 24827 29161 29402 29524 35668 35816 36112 42416 49654 58322 58804 59048 71336 71632 98087 99308 116644 117608 118096 142672 161711 196174 198616 233288 235216 273097 323422 392348 397232 466576 543937 546194 646844 784696 1078957 1087874 1092388 1293688 1569392 1778821 2157914 2175748 2184776 2587376 3557642 4315828 4351496 4369552 5983307 7115284 8631656 8702992 11966614 14230568 17263312 23933228 28461136 47866456 65816377 95732912 131632754 263265508 526531016 1053062032