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210053200 = 2452731531
BaseRepresentation
bin11001000010100…
…10100001010000
3112122020210211011
430201102201100
5412233200300
632502100304
75130265000
oct1441224120
9478223734
10210053200
11a862a095
125a41a694
1334697146
141dc7c000
1513692eba
hexc852850

210053200 has 120 divisors (see below), whose sum is σ = 588900800. Its totient is φ = 71971200.

The previous prime is 210053191. The next prime is 210053203. The reversal of 210053200 is 2350012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210053203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136435 + ... + 137965.

Almost surely, 2210053200 is an apocalyptic number.

210053200 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 210053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294450400).

210053200 is an abundant number, since it is smaller than the sum of its proper divisors (378847600).

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

210053200 is a wasteful number, since it uses less digits than its factorization.

210053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 210053200 is about 14493.2122043390. The cubic root of 210053200 is about 594.4423841571.

The spelling of 210053200 in words is "two hundred ten million, fifty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 343 350 392 400 490 560 686 700 784 980 1225 1372 1400 1531 1715 1960 2450 2744 2800 3062 3430 3920 4900 5488 6124 6860 7655 8575 9800 10717 12248 13720 15310 17150 19600 21434 24496 27440 30620 34300 38275 42868 53585 61240 68600 75019 76550 85736 107170 122480 137200 150038 153100 171472 214340 267925 300076 306200 375095 428680 525133 535850 600152 612400 750190 857360 1050266 1071700 1200304 1500380 1875475 2100532 2143400 2625665 3000760 3750950 4201064 4286800 5251330 6001520 7501900 8402128 10502660 13128325 15003800 21005320 26256650 30007600 42010640 52513300 105026600 210053200