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209320704 = 2832471933
BaseRepresentation
bin11000111100111…
…11101100000000
3112120212121000200
430132133230000
5412041230304
632434245200
75121124305
oct1436375400
9476777020
10209320704
11a817981a
125a126800
133449b908
141db2b0ac
151359ae39
hexc79fb00

209320704 has 108 divisors (see below), whose sum is σ = 616682976. Its totient is φ = 68253696.

The previous prime is 209320693. The next prime is 209320717. The reversal of 209320704 is 407023902.

209320704 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 11 ways as a sum of consecutive naturals, for example, 107322 + ... + 109254.

Almost surely, 2209320704 is an apocalyptic number.

209320704 is a gapful number since it is divisible by the number (24) 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 209320704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308341488).

209320704 is an abundant number, since it is smaller than the sum of its proper divisors (407362272).

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

209320704 is a wasteful number, since it uses less digits than its factorization.

209320704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1985 counting only the distinct ones).

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

The square root of 209320704 is about 14467.9198228356. The cubic root of 209320704 is about 593.7506010114.

The spelling of 209320704 in words is "two hundred nine million, three hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 564 576 752 768 846 1128 1152 1504 1692 1933 2256 2304 3008 3384 3866 4512 5799 6016 6768 7732 9024 11598 12032 13536 15464 17397 18048 23196 27072 30928 34794 36096 46392 54144 61856 69588 90851 92784 108288 123712 139176 181702 185568 247424 272553 278352 363404 371136 494848 545106 556704 726808 742272 817659 1090212 1113408 1453616 1484544 1635318 2180424 2226816 2907232 3270636 4360848 4453632 5814464 6541272 8721696 11628928 13082544 17443392 23257856 26165088 34886784 52330176 69773568 104660352 209320704