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114302320 = 24511193673
BaseRepresentation
bin1101101000000…
…01110101110000
321222002011022021
412310001311300
5213230133240
615201521224
72555360626
oct664016560
9258064267
10114302320
1159580030
1232343214
131a8b0712
1411275516
15a07c54a
hex6d01d70

114302320 has 80 divisors (see below), whose sum is σ = 291847392. Its totient is φ = 41287680.

The previous prime is 114302317. The next prime is 114302323. The reversal of 114302320 is 23203411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114302317) and next prime (114302323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 114302294 and 114302303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114302323) 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, 169504 + ... + 170176.

Almost surely, 2114302320 is an apocalyptic number.

114302320 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 114302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145923696).

114302320 is an abundant number, since it is smaller than the sum of its proper divisors (177545072).

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

114302320 is a wasteful number, since it uses less digits than its factorization.

114302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 114302320 is about 10691.2263094558. The cubic root of 114302320 is about 485.3090034966.

Adding to 114302320 its reverse (23203411), we get a palindrome (137505731).

The spelling of 114302320 in words is "one hundred fourteen million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 193 220 386 440 673 772 880 965 1346 1544 1930 2123 2692 3088 3365 3860 4246 5384 6730 7403 7720 8492 10615 10768 13460 14806 15440 16984 21230 26920 29612 33968 37015 42460 53840 59224 74030 84920 118448 129889 148060 169840 259778 296120 519556 592240 649445 1039112 1298890 1428779 2078224 2597780 2857558 5195560 5715116 7143895 10391120 11430232 14287790 22860464 28575580 57151160 114302320