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210023120 = 24523114143
BaseRepresentation
bin11001000010010…
…11001011010000
3112122012021120002
430201023023100
5412231214440
632501305132
75130111206
oct1441131320
9478167502
10210023120
11a860952a
125a4051a8
1334686548
141dc71076
1513689115
hexc84b2d0

210023120 has 40 divisors (see below), whose sum is σ = 509538816. Its totient is φ = 80355968.

The previous prime is 210023113. The next prime is 210023147. The reversal of 210023120 is 21320012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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, 55232 + ... + 58911.

Almost surely, 2210023120 is an apocalyptic number.

210023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210023120 is an abundant number, since it is smaller than the sum of its proper divisors (299515696).

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

210023120 is a wasteful number, since it uses less digits than its factorization.

210023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114179 (or 114173 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 210023120 is about 14492.1744400211. The cubic root of 210023120 is about 594.4140077259.

Adding to 210023120 its reverse (21320012), we get a palindrome (231343132).

The spelling of 210023120 in words is "two hundred ten million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 114143 228286 456572 570715 913144 1141430 1826288 2282860 2625289 4565720 5250578 9131440 10501156 13126445 21002312 26252890 42004624 52505780 105011560 210023120