Search a number
-
+
114413400 = 233252173739
BaseRepresentation
bin1101101000111…
…00111101011000
321222021210200100
412310130331120
5213242212100
615204135400
72556332523
oct664347530
9258253610
10114413400
1159646532
1232397560
131a91c14a
14112a3bba
15a0a0400
hex6d1cf58

114413400 has 144 divisors (see below), whose sum is σ = 406949400. Its totient is φ = 28707840.

The previous prime is 114413389. The next prime is 114413407. The reversal of 114413400 is 4314411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114413407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28731 + ... + 32469.

Almost surely, 2114413400 is an apocalyptic number.

114413400 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 114413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203474700).

114413400 is an abundant number, since it is smaller than the sum of its proper divisors (292536000).

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

114413400 is a wasteful number, since it uses less digits than its factorization.

114413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114413400 is about 10696.4199618377. The cubic root of 114413400 is about 485.4661617845.

Adding to 114413400 its reverse (4314411), we get a palindrome (118727811).

It can be divided in two parts, 11441 and 3400, that added together give a palindrome (14841).

The spelling of 114413400 in words is "one hundred fourteen million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 300 306 340 360 408 425 450 510 600 612 680 765 850 900 1020 1224 1275 1530 1700 1800 2040 2550 3060 3400 3739 3825 5100 6120 7478 7650 10200 11217 14956 15300 18695 22434 29912 30600 33651 37390 44868 56085 63563 67302 74780 89736 93475 112170 127126 134604 149560 168255 186950 190689 224340 254252 269208 280425 317815 336510 373900 381378 448680 508504 560850 572067 635630 673020 747800 762756 841275 953445 1121700 1144134 1271260 1346040 1525512 1589075 1682550 1906890 2243400 2288268 2542520 2860335 3178150 3365100 3813780 4576536 4767225 5720670 6356300 6730200 7627560 9534450 11441340 12712600 14301675 19068900 22882680 28603350 38137800 57206700 114413400