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1120498752 = 26329613299
BaseRepresentation
bin100001011001001…
…0111010001000000
32220002102020022210
41002302113101000
54243321430002
6303104102120
736524040132
oct10262272100
92802366283
101120498752
1152554632a
12273304940
1314b1aa119
14a8b57052
156858496c
hex42c97440

1120498752 has 112 divisors (see below), whose sum is σ = 3118104000. Its totient is φ = 354600960.

The previous prime is 1120498721. The next prime is 1120498789. The reversal of 1120498752 is 2578940211.

It is a self number, because there is not a number n which added to its sum of digits gives 1120498752.

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 15 ways as a sum of consecutive naturals, for example, 337999 + ... + 341297.

Almost surely, 21120498752 is an apocalyptic number.

1120498752 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 1120498752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559052000).

1120498752 is an abundant number, since it is smaller than the sum of its proper divisors (1997605248).

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

1120498752 is a wasteful number, since it uses less digits than its factorization.

1120498752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 1120498752 is about 33473.8517652212. The cubic root of 1120498752 is about 1038.6529502805.

The spelling of 1120498752 in words is "one billion, one hundred twenty million, four hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 64 87 96 116 122 174 183 192 232 244 348 366 464 488 696 732 928 976 1392 1464 1769 1856 1952 2784 2928 3299 3538 3904 5307 5568 5856 6598 7076 9897 10614 11712 13196 14152 19794 21228 26392 28304 39588 42456 52784 56608 79176 84912 95671 105568 113216 158352 169824 191342 201239 211136 287013 316704 339648 382684 402478 574026 603717 633408 765368 804956 1148052 1207434 1530736 1609912 2296104 2414868 3061472 3219824 4592208 4829736 5835931 6122944 6439648 9184416 9659472 11671862 12879296 17507793 18368832 19318944 23343724 35015586 38637888 46687448 70031172 93374896 140062344 186749792 280124688 373499584 560249376 1120498752