Search a number
-
+
114675400 = 23527101811
BaseRepresentation
bin1101101010111…
…00111011001000
321222210010002001
412311130323020
5213324103100
615213520344
72561503420
oct665347310
9258703061
10114675400
1159805364
12324a30b4
131a9b1488
1411331480
15a102d6a
hex6d5cec8

114675400 has 96 divisors (see below), whose sum is σ = 308105280. Its totient is φ = 38880000.

The previous prime is 114675397. The next prime is 114675403. The reversal of 114675400 is 4576411.

It is an interprime number because it is at equal distance from previous prime (114675397) and next prime (114675403).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114675403) 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, 140995 + ... + 141805.

It is an arithmetic number, because the mean of its divisors is an integer number (3209430).

Almost surely, 2114675400 is an apocalyptic number.

114675400 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 114675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154052640).

114675400 is an abundant number, since it is smaller than the sum of its proper divisors (193429880).

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

114675400 is a wasteful number, since it uses less digits than its factorization.

114675400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 114675400 is about 10708.6600468966. The cubic root of 114675400 is about 485.8364423350.

The spelling of 114675400 in words is "one hundred fourteen million, six hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 140 175 200 202 280 350 404 505 700 707 808 811 1010 1400 1414 1622 2020 2525 2828 3244 3535 4040 4055 5050 5656 5677 6488 7070 8110 10100 11354 14140 16220 17675 20200 20275 22708 28280 28385 32440 35350 40550 45416 56770 70700 81100 81911 113540 141400 141925 162200 163822 227080 283850 327644 409555 567700 573377 655288 819110 1135400 1146754 1638220 2047775 2293508 2866885 3276440 4095550 4587016 5733770 8191100 11467540 14334425 16382200 22935080 28668850 57337700 114675400