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208442740 = 225117312979
BaseRepresentation
bin11000110110010…
…01010101110100
3112112012222200111
430123021111310
5411330131430
632403352404
75110506532
oct1433112564
9475188614
10208442740
11a772a130
1259982704
13342520cc
141d97d152
1513475c2a
hexc6c9574

208442740 has 48 divisors (see below), whose sum is σ = 484102080. Its totient is φ = 74753280.

The previous prime is 208442737. The next prime is 208442743. The reversal of 208442740 is 47244802.

208442740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208442737) and next prime (208442743).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208442743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9571 + ... + 22549.

It is an arithmetic number, because the mean of its divisors is an integer number (10085460).

Almost surely, 2208442740 is an apocalyptic number.

208442740 is a gapful number since it is divisible by the number (20) 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 208442740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242051040).

208442740 is an abundant number, since it is smaller than the sum of its proper divisors (275659340).

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

208442740 is a wasteful number, since it uses less digits than its factorization.

208442740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13072 (or 13070 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 208442740 is about 14437.5461904023. The cubic root of 208442740 is about 592.9193053455.

The spelling of 208442740 in words is "two hundred eight million, four hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 12979 16060 25958 51916 64895 129790 142769 259580 285538 571076 713845 947467 1427690 1894934 2855380 3789868 4737335 9474670 10422137 18949340 20844274 41688548 52110685 104221370 208442740