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207490920 = 233571319001
BaseRepresentation
bin11000101111000…
…00111101101000
3112110102122000220
430113200331220
5411104202140
632331130040
75066433540
oct1427407550
9473378026
10207490920
11a7139aaa
12595a3920
1333caaac0
141d7b2320
1513338bd0
hexc5e0f68

207490920 has 128 divisors (see below), whose sum is σ = 766160640. Its totient is φ = 43776000.

The previous prime is 207490909. The next prime is 207490961. The reversal of 207490920 is 29094702.

207490920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420 + ... + 20420.

It is an arithmetic number, because the mean of its divisors is an integer number (5985630).

Almost surely, 2207490920 is an apocalyptic number.

207490920 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 207490920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383080320).

207490920 is an abundant number, since it is smaller than the sum of its proper divisors (558669720).

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

207490920 is a wasteful number, since it uses less digits than its factorization.

207490920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19035 (or 19031 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 207490920 is about 14404.5451160389. The cubic root of 207490920 is about 592.0154381779.

The spelling of 207490920 in words is "two hundred seven million, four hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 19001 38002 57003 76004 95005 114006 133007 152008 190010 228012 247013 266014 285015 380020 399021 456024 494026 532028 570030 665035 741039 760040 798042 988052 1064056 1140060 1235065 1330070 1482078 1596084 1729091 1976104 1995105 2280120 2470130 2660140 2964156 3192168 3458182 3705195 3990210 4940260 5187273 5320280 5928312 6916364 7410390 7980420 8645455 9880520 10374546 13832728 14820780 15960840 17290910 20749092 25936365 29641560 34581820 41498184 51872730 69163640 103745460 207490920