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211059380 = 22576722501
BaseRepresentation
bin11001001010010…
…00001010110100
3112201010221001002
430211020022310
5413012400010
632535422432
75141655320
oct1445101264
9481127032
10211059380
11a9157044
125a824a18
133495a10c
1420060980
15137e11a5
hexc9482b4

211059380 has 48 divisors (see below), whose sum is σ = 514125696. Its totient is φ = 71280000.

The previous prime is 211059371. The next prime is 211059383. The reversal of 211059380 is 83950112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211059383) 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, 1871 + ... + 20630.

It is an arithmetic number, because the mean of its divisors is an integer number (10710952).

Almost surely, 2211059380 is an apocalyptic number.

211059380 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 211059380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257062848).

211059380 is an abundant number, since it is smaller than the sum of its proper divisors (303066316).

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

211059380 is a wasteful number, since it uses less digits than its factorization.

211059380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22584 (or 22582 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 211059380 is about 14527.8828464439. The cubic root of 211059380 is about 595.3900227484.

It can be divided in two parts, 21105 and 9380, that multiplied together give a square (197964900 = 140702).

The spelling of 211059380 in words is "two hundred eleven million, fifty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4690 9380 22501 45002 90004 112505 157507 225010 315014 450020 630028 787535 1507567 1575070 3015134 3150140 6030268 7537835 10552969 15075670 21105938 30151340 42211876 52764845 105529690 211059380