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1134200400 = 243524392153
BaseRepresentation
bin100001110011010…
…1000011001010000
32221001012100110020
41003212220121100
54310323403100
6304313503440
740051354464
oct10346503120
92831170406
101134200400
11532254603
12277a11b80
13150c967c8
14aa8c24a4
156988e5a0
hex439a8650

1134200400 has 120 divisors (see below), whose sum is σ = 3643189440. Its totient is φ = 301624320.

The previous prime is 1134200399. The next prime is 1134200401. The reversal of 1134200400 is 40024311.

It is an interprime number because it is at equal distance from previous prime (1134200399) and next prime (1134200401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1134200400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134200401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525724 + ... + 527876.

It is an arithmetic number, because the mean of its divisors is an integer number (30359912).

Almost surely, 21134200400 is an apocalyptic number.

1134200400 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 1134200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821594720).

1134200400 is an abundant number, since it is smaller than the sum of its proper divisors (2508989040).

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

1134200400 is a wasteful number, since it uses less digits than its factorization.

1134200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1134200400 is about 33677.8918580127. The cubic root of 1134200400 is about 1042.8694180435.

Adding to 1134200400 its reverse (40024311), we get a palindrome (1174224711).

The spelling of 1134200400 in words is "one billion, one hundred thirty-four million, two hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 439 600 878 1200 1317 1756 2153 2195 2634 3512 4306 4390 5268 6459 6585 7024 8612 8780 10536 10765 10975 12918 13170 17224 17560 21072 21530 21950 25836 26340 32295 32925 34448 35120 43060 43900 51672 52680 53825 64590 65850 86120 87800 103344 105360 107650 129180 131700 161475 172240 175600 215300 258360 263400 322950 430600 516720 526800 645900 861200 945167 1291800 1890334 2583600 2835501 3780668 4725835 5671002 7561336 9451670 11342004 14177505 15122672 18903340 22684008 23629175 28355010 37806680 45368016 47258350 56710020 70887525 75613360 94516700 113420040 141775050 189033400 226840080 283550100 378066800 567100200 1134200400