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210053920 = 2552834639
BaseRepresentation
bin11001000010100…
…10101100100000
3112122020211210211
430201102230200
5412233211140
632502103504
75130300046
oct1441225440
9478224724
10210053920
11a862a68a
125a41ab94
133469757b
141dc7c396
15136932ea
hexc852b20

210053920 has 48 divisors (see below), whose sum is σ = 498113280. Its totient is φ = 83706624.

The previous prime is 210053903. The next prime is 210053933. The reversal of 210053920 is 29350012.

It is a junction number, because it is equal to n+sod(n) for n = 210053891 and 210053900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42961 + ... + 47599.

It is an arithmetic number, because the mean of its divisors is an integer number (10377360).

Almost surely, 2210053920 is an apocalyptic number.

210053920 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 210053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249056640).

210053920 is an abundant number, since it is smaller than the sum of its proper divisors (288059360).

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

210053920 is a wasteful number, since it uses less digits than its factorization.

210053920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 210053920 is about 14493.2370435317. The cubic root of 210053920 is about 594.4430633470.

The spelling of 210053920 in words is "two hundred ten million, fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283 566 1132 1415 2264 2830 4528 4639 5660 9056 9278 11320 18556 22640 23195 37112 45280 46390 74224 92780 148448 185560 371120 742240 1312837 2625674 5251348 6564185 10502696 13128370 21005392 26256740 42010784 52513480 105026960 210053920