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210053532 = 223132774861
BaseRepresentation
bin11001000010100…
…10100110011100
3112122020211021110
430201102212130
5412233203112
632502102020
75130265653
oct1441224634
9478224243
10210053532
11a862a367
125a41a910
1334697340
141dc7c19a
151369313c
hexc85299c

210053532 has 48 divisors (see below), whose sum is σ = 529841312. Its totient is φ = 64385280.

The previous prime is 210053521. The next prime is 210053539. The reversal of 210053532 is 235350012.

It is a junction number, because it is equal to n+sod(n) for n = 210053499 and 210053508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210053539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40782 + ... + 45642.

Almost surely, 2210053532 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 210053532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264920656).

210053532 is an abundant number, since it is smaller than the sum of its proper divisors (319787780).

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

210053532 is a wasteful number, since it uses less digits than its factorization.

210053532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 210053532 is about 14493.2236579720. The cubic root of 210053532 is about 594.4426973393.

The spelling of 210053532 in words is "two hundred ten million, fifty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 277 554 831 1108 1662 3324 3601 4861 7202 9722 10803 14404 14583 19444 21606 29166 43212 58332 63193 126386 189579 252772 379158 758316 1346497 2692994 4039491 5385988 8078982 16157964 17504461 35008922 52513383 70017844 105026766 210053532