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213630870 = 235191312861
BaseRepresentation
bin11001011101110…
…11111110010110
3112212222120110110
430232323332112
5414142141440
633110503450
75202555345
oct1456737626
9485876413
10213630870
11aa653042
125b664b86
133534a6cb
142052db5c
1513b4d080
hexcbbbf96

213630870 has 64 divisors (see below), whose sum is σ = 544008960. Its totient is φ = 53539200.

The previous prime is 213630847. The next prime is 213630881. The reversal of 213630870 is 78036312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73240 + ... + 76100.

It is an arithmetic number, because the mean of its divisors is an integer number (8500140).

Almost surely, 2213630870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213630870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272004480).

213630870 is an abundant number, since it is smaller than the sum of its proper divisors (330378090).

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

213630870 is a wasteful number, since it uses less digits than its factorization.

213630870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 213630870 is about 14616.1167893528. The cubic root of 213630870 is about 597.7982917950.

The spelling of 213630870 in words is "two hundred thirteen million, six hundred thirty thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 131 190 262 285 393 570 655 786 1310 1965 2489 2861 3930 4978 5722 7467 8583 12445 14305 14934 17166 24890 28610 37335 42915 54359 74670 85830 108718 163077 271795 326154 374791 543590 749582 815385 1124373 1630770 1873955 2248746 3747910 5621865 7121029 11243730 14242058 21363087 35605145 42726174 71210290 106815435 213630870