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114299400 = 23352197967
BaseRepresentation
bin1101101000000…
…01001000001000
321222002000022010
412310001020020
5213230040100
615201455520
72555346255
oct664011010
9258060263
10114299400
1159578916
12323415a0
131a8ac2a7
141127442c
15a07b750
hex6d01208

114299400 has 96 divisors (see below), whose sum is σ = 356495040. Its totient is φ = 30293760.

The previous prime is 114299389. The next prime is 114299417. The reversal of 114299400 is 4992411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117717 + ... + 118683.

It is an arithmetic number, because the mean of its divisors is an integer number (3713490).

Almost surely, 2114299400 is an apocalyptic number.

114299400 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 114299400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178247520).

114299400 is an abundant number, since it is smaller than the sum of its proper divisors (242195640).

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

114299400 is a wasteful number, since it uses less digits than its factorization.

114299400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 114299400 is about 10691.0897480098. The cubic root of 114299400 is about 485.3048708469.

The spelling of 114299400 in words is "one hundred fourteen million, two hundred ninety-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 197 200 300 394 591 600 788 967 985 1182 1576 1934 1970 2364 2901 2955 3868 3940 4728 4835 4925 5802 5910 7736 7880 9670 9850 11604 11820 14505 14775 19340 19700 23208 23640 24175 29010 29550 38680 39400 48350 58020 59100 72525 96700 116040 118200 145050 190499 193400 290100 380998 571497 580200 761996 952495 1142994 1523992 1904990 2285988 2857485 3809980 4571976 4762475 5714970 7619960 9524950 11429940 14287425 19049900 22859880 28574850 38099800 57149700 114299400