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114457800 = 23352190763
BaseRepresentation
bin1101101001001…
…11110011001000
321222101001120210
412310213303020
5213300122200
615205121120
72556606132
oct664476310
9258331523
10114457800
1159676926
12323b91a0
131a936412
14112b6052
15a0ad650
hex6d27cc8

114457800 has 48 divisors (see below), whose sum is σ = 354821040. Its totient is φ = 30521920.

The previous prime is 114457799. The next prime is 114457801. The reversal of 114457800 is 8754411.

It is an interprime number because it is at equal distance from previous prime (114457799) and next prime (114457801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (114457801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94782 + ... + 95981.

It is an arithmetic number, because the mean of its divisors is an integer number (7392105).

Almost surely, 2114457800 is an apocalyptic number.

114457800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114457800 is an abundant number, since it is smaller than the sum of its proper divisors (240363240).

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

114457800 is a wasteful number, since it uses less digits than its factorization.

114457800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190782 (or 190773 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 114457800 is about 10698.4952212916. The cubic root of 114457800 is about 485.5289513703.

The spelling of 114457800 in words is "one hundred fourteen million, four hundred fifty-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 190763 381526 572289 763052 953815 1144578 1526104 1907630 2289156 2861445 3815260 4578312 4769075 5722890 7630520 9538150 11445780 14307225 19076300 22891560 28614450 38152600 57228900 114457800