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208373130 = 232571132927
BaseRepresentation
bin11000110101110…
…00010110001010
3112112002110012100
430122320112022
5411320420010
632402054230
75110066560
oct1432702612
9475073170
10208373130
11a76918a9
125994a376
1334229514
141d961a30
15134602c0
hexc6b858a

208373130 has 96 divisors (see below), whose sum is σ = 624858624. Its totient is φ = 47190528.

The previous prime is 208373129. The next prime is 208373147. The reversal of 208373130 is 31373802.

It is a super-2 number, since 2×2083731302 = 86838722611993800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 208373094 and 208373103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69727 + ... + 72653.

It is an arithmetic number, because the mean of its divisors is an integer number (6508944).

Almost surely, 2208373130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208373130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312429312).

208373130 is an abundant number, since it is smaller than the sum of its proper divisors (416485494).

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

208373130 is a wasteful number, since it uses less digits than its factorization.

208373130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 208373130 is about 14435.1352608834. The cubic root of 208373130 is about 592.8532956776.

The spelling of 208373130 in words is "two hundred eight million, three hundred seventy-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 113 126 210 226 315 339 565 630 678 791 1017 1130 1582 1695 2034 2373 2927 3390 3955 4746 5085 5854 7119 7910 8781 10170 11865 14238 14635 17562 20489 23730 26343 29270 35595 40978 43905 52686 61467 71190 87810 102445 122934 131715 184401 204890 263430 307335 330751 368802 614670 661502 922005 992253 1653755 1844010 1984506 2315257 2976759 3307510 4630514 4961265 5953518 6945771 9922530 11576285 13891542 14883795 20837313 23152570 29767590 34728855 41674626 69457710 104186565 208373130