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213061704 = 23375111821
BaseRepresentation
bin11001011001100…
…01000001001000
3112211220122201020
430230301001020
5414020433304
633050352440
75164665102
oct1454610110
9484818636
10213061704
11aa2a4459
125b42b720
13351ab61b
1420422572
1513a895d9
hexcb31048

213061704 has 32 divisors (see below), whose sum is σ = 533408640. Its totient is φ = 70920000.

The previous prime is 213061679. The next prime is 213061711. The reversal of 213061704 is 407160312.

It is a super-3 number, since 3×2130617043 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12114 + ... + 23934.

It is an arithmetic number, because the mean of its divisors is an integer number (16669020).

Almost surely, 2213061704 is an apocalyptic number.

213061704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213061704 is an abundant number, since it is smaller than the sum of its proper divisors (320346936).

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

213061704 is a wasteful number, since it uses less digits than its factorization.

213061704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12581 (or 12577 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 213061704 is about 14596.6333104590. The cubic root of 213061704 is about 597.2669249599.

The spelling of 213061704 in words is "two hundred thirteen million, sixty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 24 751 1502 2253 3004 4506 6008 9012 11821 18024 23642 35463 47284 70926 94568 141852 283704 8877571 17755142 26632713 35510284 53265426 71020568 106530852 213061704