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1130006016 = 2932251977
BaseRepresentation
bin100001101011010…
…1000011000000000
32220202022020211200
41003112220120000
54303240143031
6304043541200
740000615116
oct10326503000
92822266750
101130006016
1152a94a277
1227652a800
13150158619
14aa10dab6
15693118e6
hex435a8600

1130006016 has 120 divisors (see below), whose sum is σ = 3277618344. Its totient is φ = 374784000.

The previous prime is 1130005999. The next prime is 1130006023. The reversal of 1130006016 is 6106000311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1130006016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1156120 + ... + 1157096.

Almost surely, 21130006016 is an apocalyptic number.

1130006016 is a gapful number since it is divisible by the number (16) 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 1130006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638809172).

1130006016 is an abundant number, since it is smaller than the sum of its proper divisors (2147612328).

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

1130006016 is an equidigital number, since it uses as much as digits as its factorization.

1130006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1130006016 is about 33615.5621104274. The cubic root of 1130006016 is about 1041.5822857245.

Adding to 1130006016 its reverse (6106000311), we get a palindrome (7236006327).

The spelling of 1130006016 in words is "one billion, one hundred thirty million, six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 251 256 288 384 502 512 576 753 768 977 1004 1152 1506 1536 1954 2008 2259 2304 2931 3012 3908 4016 4518 4608 5862 6024 7816 8032 8793 9036 11724 12048 15632 16064 17586 18072 23448 24096 31264 32128 35172 36144 46896 48192 62528 64256 70344 72288 93792 96384 125056 128512 140688 144576 187584 192768 245227 250112 281376 289152 375168 385536 490454 500224 562752 578304 735681 750336 980908 1125504 1156608 1471362 1500672 1961816 2207043 2251008 2942724 3923632 4414086 4502016 5885448 7847264 8828172 11770896 15694528 17656344 23541792 31389056 35312688 47083584 62778112 70625376 94167168 125556224 141250752 188334336 282501504 376668672 565003008 1130006016