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114362300 = 225213267101
BaseRepresentation
bin1101101000100…
…00011110111100
321222012012120202
412310100132330
5213234043200
615203103032
72556030533
oct664203674
9258165522
10114362300
11596110a8
1232371a78
131a901b00
141128d31a
15a0901d5
hex6d107bc

114362300 has 108 divisors (see below), whose sum is σ = 275435496. Its totient is φ = 41184000.

The previous prime is 114362299. The next prime is 114362309. The reversal of 114362300 is 3263411.

It is a super-2 number, since 2×1143623002 = 26157471322580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114362309) 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, 1132250 + ... + 1132350.

Almost surely, 2114362300 is an apocalyptic number.

114362300 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 114362300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137717748).

114362300 is an abundant number, since it is smaller than the sum of its proper divisors (161073196).

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

114362300 is a wasteful number, since it uses less digits than its factorization.

114362300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 114362300 is about 10694.0310454010. The cubic root of 114362300 is about 485.3938770842.

The spelling of 114362300 in words is "one hundred fourteen million, three hundred sixty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 67 100 101 130 134 169 202 260 268 325 335 338 404 505 650 670 676 845 871 1010 1300 1313 1340 1675 1690 1742 2020 2525 2626 3350 3380 3484 4225 4355 5050 5252 6565 6700 6767 8450 8710 10100 11323 13130 13534 16900 17069 17420 21775 22646 26260 27068 32825 33835 34138 43550 45292 56615 65650 67670 68276 85345 87100 87971 113230 131300 135340 169175 170690 175942 226460 283075 338350 341380 351884 426725 439855 566150 676700 853450 879710 1132300 1143623 1706900 1759420 2199275 2287246 4398550 4574492 5718115 8797100 11436230 22872460 28590575 57181150 114362300