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1145140776 = 2332132395119
BaseRepresentation
bin100010001000001…
…0111011000101000
32221210210011211100
41010100113120220
54321124001101
6305344201400
740243351563
oct10420273050
92853704740
101145140776
1153844723a
1227b609260
131533273c0
14ac12d4da
156a800e86
hex44417628

1145140776 has 96 divisors (see below), whose sum is σ = 3354624000. Its totient is φ = 350808192.

The previous prime is 1145140769. The next prime is 1145140781. The reversal of 1145140776 is 6770415411.

It is a super-2 number, since 2×11451407762 = 2622694793715764352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1145140776.

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 23 ways as a sum of consecutive naturals, for example, 221145 + ... + 226263.

It is an arithmetic number, because the mean of its divisors is an integer number (34944000).

Almost surely, 21145140776 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 1145140776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677312000).

1145140776 is an abundant number, since it is smaller than the sum of its proper divisors (2209483224).

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

1145140776 is a wasteful number, since it uses less digits than its factorization.

1145140776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1145140776 is about 33839.9287233292. The cubic root of 1145140776 is about 1046.2118298189.

The spelling of 1145140776 in words is "one billion, one hundred forty-five million, one hundred forty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 239 312 468 478 717 936 956 1434 1912 2151 2868 3107 4302 5119 5736 6214 8604 9321 10238 12428 15357 17208 18642 20476 24856 27963 30714 37284 40952 46071 55926 61428 66547 74568 92142 111852 122856 133094 184284 199641 223704 266188 368568 399282 532376 598923 798564 1197846 1223441 1597128 2395692 2446882 3670323 4791384 4893764 7340646 9787528 11010969 14681292 15904733 22021938 29362584 31809466 44043876 47714199 63618932 88087752 95428398 127237864 143142597 190856796 286285194 381713592 572570388 1145140776