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114426300 = 223522331637
BaseRepresentation
bin1101101001000…
…00000110111100
321222022110101010
412310200012330
5213243120200
615204315220
72556415242
oct664400674
9258273333
10114426300
115965519a
12323a2b10
131a924c91
14112a8792
15a0a4150
hex6d201bc

114426300 has 72 divisors (see below), whose sum is σ = 332697456. Its totient is φ = 30364160.

The previous prime is 114426293. The next prime is 114426307. The reversal of 114426300 is 3624411.

It is an interprime number because it is at equal distance from previous prime (114426293) and next prime (114426307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114426307) 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, 69082 + ... + 70718.

It is an arithmetic number, because the mean of its divisors is an integer number (4620798).

Almost surely, 2114426300 is an apocalyptic number.

114426300 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 114426300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166348728).

114426300 is an abundant number, since it is smaller than the sum of its proper divisors (218271156).

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

114426300 is a wasteful number, since it uses less digits than its factorization.

114426300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 114426300 is about 10697.0229503353. The cubic root of 114426300 is about 485.4844063787.

The spelling of 114426300 in words is "one hundred fourteen million, four hundred twenty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 233 300 466 699 932 1165 1398 1637 2330 2796 3274 3495 4660 4911 5825 6548 6990 8185 9822 11650 13980 16370 17475 19644 23300 24555 32740 34950 40925 49110 69900 81850 98220 122775 163700 245550 381421 491100 762842 1144263 1525684 1907105 2288526 3814210 4577052 5721315 7628420 9535525 11442630 19071050 22885260 28606575 38142100 57213150 114426300