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1120003340 = 2253110916573
BaseRepresentation
bin100001011000001…
…1110010100001100
32220001111001202012
41002300132110030
54243210101330
6303045320352
736516604601
oct10260362414
92801431665
101120003340
115252380a5
122731060b8
1314b065791
14a8a686a8
15684d7c95
hex42c1e50c

1120003340 has 48 divisors (see below), whose sum is σ = 2450300160. Its totient is φ = 429546240.

The previous prime is 1120003319. The next prime is 1120003361. The reversal of 1120003340 is 433000211.

It is an interprime number because it is at equal distance from previous prime (1120003319) and next prime (1120003361).

It is a super-2 number, since 2×11200033402 = 2508814963222311200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59294 + ... + 75866.

It is an arithmetic number, because the mean of its divisors is an integer number (51047920).

Almost surely, 21120003340 is an apocalyptic number.

1120003340 is a gapful number since it is divisible by the number (10) 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 1120003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225150080).

1120003340 is an abundant number, since it is smaller than the sum of its proper divisors (1330296820).

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

1120003340 is a wasteful number, since it uses less digits than its factorization.

1120003340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16722 (or 16720 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1120003340 is about 33466.4509621203. The cubic root of 1120003340 is about 1038.4998526865.

Adding to 1120003340 its reverse (433000211), we get a palindrome (1553003551).

The spelling of 1120003340 in words is "one billion, one hundred twenty million, three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 109 124 155 218 310 436 545 620 1090 2180 3379 6758 13516 16573 16895 33146 33790 66292 67580 82865 165730 331460 513763 1027526 1806457 2055052 2568815 3612914 5137630 7225828 9032285 10275260 18064570 36129140 56000167 112000334 224000668 280000835 560001670 1120003340