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203720742 = 23237499613
BaseRepresentation
bin11000010010010…
…00100000100110
3112012100002022200
430021020200212
5404123030432
632114235330
75022412011
oct1411104046
9465302280
10203720742
11a4aa4455
1258285b46
133328aa24
141d0b0378
1512d41a7c
hexc248826

203720742 has 48 divisors (see below), whose sum is σ = 454974000. Its totient is φ = 65831616.

The previous prime is 203720689. The next prime is 203720743. The reversal of 203720742 is 247027302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203720743) 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, 332028 + ... + 332640.

It is an arithmetic number, because the mean of its divisors is an integer number (9478625).

Almost surely, 2203720742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203720742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227487000).

203720742 is an abundant number, since it is smaller than the sum of its proper divisors (251253258).

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

203720742 is a wasteful number, since it uses less digits than its factorization.

203720742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 203720742 is about 14273.0775237858. The cubic root of 203720742 is about 588.4077936148.

The spelling of 203720742 in words is "two hundred three million, seven hundred twenty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 499 613 666 998 1226 1497 1839 2994 3678 4491 5517 8982 11034 18463 22681 36926 45362 55389 68043 110778 136086 166167 204129 305887 332334 408258 611774 917661 1835322 2752983 5505966 11317819 22635638 33953457 67906914 101860371 203720742