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213860820 = 223511173191
BaseRepresentation
bin11001011111101…
…00000111010100
3112220102020220010
430233310013110
5414222021240
633115440220
75204533635
oct1457640724
9486366803
10213860820
11aa79a888
125b756070
13353cb284
142058d88c
1513b96280
hexcbf41d4

213860820 has 48 divisors (see below), whose sum is σ = 599534208. Its totient is φ = 56960640.

The previous prime is 213860771. The next prime is 213860837. The reversal of 213860820 is 28068312.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65425 + ... + 68615.

It is an arithmetic number, because the mean of its divisors is an integer number (12490296).

Almost surely, 2213860820 is an apocalyptic number.

213860820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213860820 is an abundant number, since it is smaller than the sum of its proper divisors (385673388).

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

213860820 is a wasteful number, since it uses less digits than its factorization.

213860820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 213860820 is about 14623.9809901408. The cubic root of 213860820 is about 598.0127027946.

The spelling of 213860820 in words is "two hundred thirteen million, eight hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1117 2234 3191 3351 4468 5585 6382 6702 9573 11170 12764 13404 15955 16755 19146 22340 31910 33510 38292 47865 63820 67020 95730 191460 3564347 7128694 10693041 14257388 17821735 21386082 35643470 42772164 53465205 71286940 106930410 213860820