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210332096 = 26131012503
BaseRepresentation
bin11001000100101…
…10100111000000
3112122202222101122
430202112213000
5412321111341
632512051412
75132536052
oct1442264700
9478688348
10210332096
11a87aa687
125a533b68
1334764080
141dd118d2
15136ea94b
hexc8969c0

210332096 has 56 divisors (see below), whose sum is σ = 454115424. Its totient is φ = 96076800.

The previous prime is 210332093. The next prime is 210332107. The reversal of 210332096 is 690233012.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210332093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82781 + ... + 85283.

It is an arithmetic number, because the mean of its divisors is an integer number (8109204).

Almost surely, 2210332096 is an apocalyptic number.

210332096 is a gapful number since it is divisible by the number (26) 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 210332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227057712).

210332096 is an abundant number, since it is smaller than the sum of its proper divisors (243783328).

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

210332096 is a wasteful number, since it uses less digits than its factorization.

210332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 210332096 is about 14502.8306202617. The cubic root of 210332096 is about 594.7053560819.

The spelling of 210332096 in words is "two hundred ten million, three hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 202 208 404 416 808 832 1313 1616 2503 2626 3232 5006 5252 6464 10012 10504 20024 21008 32539 40048 42016 65078 80096 84032 130156 160192 252803 260312 505606 520624 1011212 1041248 2022424 2082496 3286439 4044848 6572878 8089696 13145756 16179392 26291512 52583024 105166048 210332096