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211006680 = 23351758389
BaseRepresentation
bin11001001001110…
…11010011011000
3112201001020202020
430210323103120
5413004203210
632534334440
75141345553
oct1444732330
9481036666
10211006680
11a9120495
125a7ba420
133493c131
142004969a
15137d0770
hexc93b4d8

211006680 has 32 divisors (see below), whose sum is σ = 633020400. Its totient is φ = 56268416.

The previous prime is 211006673. The next prime is 211006681. The reversal of 211006680 is 86600112.

211006680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 211006680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211006681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879075 + ... + 879314.

Almost surely, 2211006680 is an apocalyptic number.

211006680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211006680 is an abundant number, since it is smaller than the sum of its proper divisors (422013720).

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

211006680 is a wasteful number, since it uses less digits than its factorization.

211006680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758403 (or 1758399 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 211006680 is about 14526.0689795966. The cubic root of 211006680 is about 595.3404637631.

Adding to 211006680 its reverse (86600112), we get a palindrome (297606792).

The spelling of 211006680 in words is "two hundred eleven million, six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1758389 3516778 5275167 7033556 8791945 10550334 14067112 17583890 21100668 26375835 35167780 42201336 52751670 70335560 105503340 211006680