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210669040 = 24543471303
BaseRepresentation
bin11001000111010…
…00110111110000
3112200102002121001
430203220313300
5412412402130
632523211344
75135441311
oct1443506760
9480362531
10210669040
11a8a0a84a
125a676b54
133485154a
141dd9c608
15137656ca
hexc8e8df0

210669040 has 80 divisors (see below), whose sum is σ = 512252928. Its totient is φ = 80494848.

The previous prime is 210669031. The next prime is 210669059. The reversal of 210669040 is 40966012.

210669040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161029 + ... + 162331.

Almost surely, 2210669040 is an apocalyptic number.

210669040 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 210669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256126464).

210669040 is an abundant number, since it is smaller than the sum of its proper divisors (301583888).

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

210669040 is a wasteful number, since it uses less digits than its factorization.

210669040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 210669040 is about 14514.4424625957. The cubic root of 210669040 is about 595.0227517605.

The spelling of 210669040 in words is "two hundred ten million, six hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 47 80 86 94 172 188 215 235 344 376 430 470 688 752 860 940 1303 1720 1880 2021 2606 3440 3760 4042 5212 6515 8084 10105 10424 13030 16168 20210 20848 26060 32336 40420 52120 56029 61241 80840 104240 112058 122482 161680 224116 244964 280145 306205 448232 489928 560290 612410 896464 979856 1120580 1224820 2241160 2449640 2633363 4482320 4899280 5266726 10533452 13166815 21066904 26333630 42133808 52667260 105334520 210669040