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1114431320 = 235194873011
BaseRepresentation
bin100001001101100…
…1101111101011000
32212122222222101002
41002123031331120
54240243300240
6302330044132
736421336622
oct10233157530
92778888332
101114431320
11522081822
12271279648
13149b64522
14a8017c12
1567c86d15
hex426cdf58

1114431320 has 64 divisors (see below), whose sum is σ = 2645740800. Its totient is φ = 421303680.

The previous prime is 1114431319. The next prime is 1114431323. The reversal of 1114431320 is 231344111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1114431292 and 1114431301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114431323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368615 + ... + 371625.

It is an arithmetic number, because the mean of its divisors is an integer number (41339700).

Almost surely, 21114431320 is an apocalyptic number.

1114431320 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 1114431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322870400).

1114431320 is an abundant number, since it is smaller than the sum of its proper divisors (1531309480).

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

1114431320 is a wasteful number, since it uses less digits than its factorization.

1114431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1114431320 is about 33383.0993168699. The cubic root of 1114431320 is about 1036.7748088484.

Adding to 1114431320 its reverse (231344111), we get a palindrome (1345775431).

The spelling of 1114431320 in words is "one billion, one hundred fourteen million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 487 760 974 1948 2435 3011 3896 4870 6022 9253 9740 12044 15055 18506 19480 24088 30110 37012 46265 57209 60220 74024 92530 114418 120440 185060 228836 286045 370120 457672 572090 1144180 1466357 2288360 2932714 5865428 7331785 11730856 14663570 27860783 29327140 55721566 58654280 111443132 139303915 222886264 278607830 557215660 1114431320