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203428120 = 23571742737
BaseRepresentation
bin11000010000000…
…01000100011000
3112011210012220211
430020001010120
5404034144440
632104100504
75020052620
oct1410010430
9464705824
10203428120
11a4914615
1258164734
13331b778c
141d035880
1512cd4eea
hexc201118

203428120 has 64 divisors (see below), whose sum is σ = 553884480. Its totient is φ = 65642496.

The previous prime is 203428111. The next prime is 203428129. The reversal of 203428120 is 21824302.

It is an interprime number because it is at equal distance from previous prime (203428111) and next prime (203428129).

It is a junction number, because it is equal to n+sod(n) for n = 203428091 and 203428100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203428129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16609 + ... + 26128.

It is an arithmetic number, because the mean of its divisors is an integer number (8654445).

Almost surely, 2203428120 is an apocalyptic number.

203428120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203428120 is an abundant number, since it is smaller than the sum of its proper divisors (350456360).

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

203428120 is a wasteful number, since it uses less digits than its factorization.

203428120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42772 (or 42768 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 203428120 is about 14262.8230024775. The cubic root of 203428120 is about 588.1259313473.

The spelling of 203428120 in words is "two hundred three million, four hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 42737 85474 170948 213685 299159 341896 427370 598318 726529 854740 1196636 1453058 1495795 1709480 2393272 2906116 2991590 3632645 5085703 5812232 5983180 7265290 10171406 11966360 14530580 20342812 25428515 29061160 40685624 50857030 101714060 203428120