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213740656 = 24231035639
BaseRepresentation
bin11001011110101…
…10110001110000
3112220012011001121
430233112301300
5414204200111
633113112024
75203523413
oct1457266160
9486164047
10213740656
11aa718578
125b6b8614
133538867c
142055bb7a
1513b70871
hexcbd6c70

213740656 has 40 divisors (see below), whose sum is σ = 436400640. Its totient is φ = 101213376.

The previous prime is 213740627. The next prime is 213740663. The reversal of 213740656 is 656047312.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 35085 + ... + 40723.

It is an arithmetic number, because the mean of its divisors is an integer number (10910016).

Almost surely, 2213740656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213740656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218200320).

213740656 is an abundant number, since it is smaller than the sum of its proper divisors (222659984).

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

213740656 is a wasteful number, since it uses less digits than its factorization.

213740656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 213740656 is about 14619.8719556636. The cubic root of 213740656 is about 597.9006781276.

Adding to 213740656 its reverse (656047312), we get a palindrome (869787968).

The spelling of 213740656 in words is "two hundred thirteen million, seven hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 103 184 206 368 412 824 1648 2369 4738 5639 9476 11278 18952 22556 37904 45112 90224 129697 259394 518788 580817 1037576 1161634 2075152 2323268 4646536 9293072 13358791 26717582 53435164 106870328 213740656