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1130001400 = 2352111732969
BaseRepresentation
bin100001101011010…
…0111001111111000
32220202022000111201
41003112213033320
54303240021100
6304043503544
740000565503
oct10326471770
92822260451
101130001400
1152a946860
12276527bb4
131501564a8
14aa10c13a
156931036a
hex435a73f8

1130001400 has 96 divisors (see below), whose sum is σ = 2883632400. Its totient is φ = 408396800.

The previous prime is 1130001391. The next prime is 1130001409. The reversal of 1130001400 is 41000311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1130001391) and next prime (1130001409).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130001409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379116 + ... + 382084.

Almost surely, 21130001400 is an apocalyptic number.

1130001400 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 1130001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441816200).

1130001400 is an abundant number, since it is smaller than the sum of its proper divisors (1753631000).

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

1130001400 is a wasteful number, since it uses less digits than its factorization.

1130001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1130001400 is about 33615.4934516809. The cubic root of 1130001400 is about 1041.5808674576.

Adding to 1130001400 its reverse (41000311), we get a palindrome (1171001711).

The spelling of 1130001400 in words is "one billion, one hundred thirty million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 173 200 220 275 346 440 550 692 865 1100 1384 1730 1903 2200 2969 3460 3806 4325 5938 6920 7612 8650 9515 11876 14845 15224 17300 19030 23752 29690 32659 34600 38060 47575 59380 65318 74225 76120 95150 118760 130636 148450 163295 190300 261272 296900 326590 380600 513637 593800 653180 816475 1027274 1306360 1632950 2054548 2568185 3265900 4109096 5136370 5650007 6531800 10272740 11300014 12840925 20545480 22600028 25681850 28250035 45200056 51363700 56500070 102727400 113000140 141250175 226000280 282500350 565000700 1130001400