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210070152 = 23332773511
BaseRepresentation
bin11001000010101…
…10101010001000
3112122021200002000
430201112222020
5412234221102
632502311000
75130365265
oct1441265210
9478250060
10210070152
11a86408a6
125a428460
13346a1a86
141dc8426c
151369801c
hexc856a88

210070152 has 64 divisors (see below), whose sum is σ = 585801600. Its totient is φ = 69750720.

The previous prime is 210070151. The next prime is 210070163. The reversal of 210070152 is 251070012.

It is a super-2 number, since 2×2100701522 = 88258937522606208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (210070151) 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 15 ways as a sum of consecutive naturals, for example, 58077 + ... + 61587.

It is an arithmetic number, because the mean of its divisors is an integer number (9153150).

Almost surely, 2210070152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210070152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292900800).

210070152 is an abundant number, since it is smaller than the sum of its proper divisors (375731448).

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

210070152 is a wasteful number, since it uses less digits than its factorization.

210070152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 210070152 is about 14493.7970180350. The cubic root of 210070152 is about 594.4583748938.

Subtracting from 210070152 its product of nonzero digits (140), we obtain a palindrome (210070012).

The spelling of 210070152 in words is "two hundred ten million, seventy thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 277 554 831 1108 1662 2216 2493 3324 3511 4986 6648 7022 7479 9972 10533 14044 14958 19944 21066 28088 29916 31599 42132 59832 63198 84264 94797 126396 189594 252792 379188 758376 972547 1945094 2917641 3890188 5835282 7780376 8752923 11670564 17505846 23341128 26258769 35011692 52517538 70023384 105035076 210070152