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210315140 = 22571997549
BaseRepresentation
bin11001000100100…
…10011110000100
3112122202010010122
430202102132010
5412320041030
632511441112
75132435450
oct1442223604
9478663118
10210315140
11a8798972
125a526198
1334759439
141dd09660
15136e58e5
hexc892784

210315140 has 48 divisors (see below), whose sum is σ = 507360000. Its totient is φ = 71736192.

The previous prime is 210315137. The next prime is 210315169. The reversal of 210315140 is 41513012.

It is a super-2 number, since 2×2103151402 = 88464916226439200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 24086 + ... + 31634.

It is an arithmetic number, because the mean of its divisors is an integer number (10570000).

Almost surely, 2210315140 is an apocalyptic number.

210315140 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 210315140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253680000).

210315140 is an abundant number, since it is smaller than the sum of its proper divisors (297044860).

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

210315140 is a wasteful number, since it uses less digits than its factorization.

210315140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 210315140 is about 14502.2460329426. The cubic root of 210315140 is about 594.6893748548.

Adding to 210315140 its reverse (41513012), we get a palindrome (251828152).

The spelling of 210315140 in words is "two hundred ten million, three hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 796 995 1393 1990 2786 3980 5572 6965 7549 13930 15098 27860 30196 37745 52843 75490 105686 150980 211372 264215 528430 1056860 1502251 3004502 6009004 7511255 10515757 15022510 21031514 30045020 42063028 52578785 105157570 210315140