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210212340 = 223513220731
BaseRepresentation
bin11001000011110…
…01010111110100
3112122112220010020
430201321113310
5412303243330
632505325140
75131526652
oct1441712764
9478486106
10210212340
11a8728708
125a4967b0
1334721700
141dcbddd2
15136c5210
hexc8795f4

210212340 has 72 divisors (see below), whose sum is σ = 637384608. Its totient is φ = 51742080.

The previous prime is 210212311. The next prime is 210212347. The reversal of 210212340 is 43212012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210212347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226 + ... + 20505.

It is an arithmetic number, because the mean of its divisors is an integer number (8852564).

Almost surely, 2210212340 is an apocalyptic number.

210212340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210212340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318692304).

210212340 is an abundant number, since it is smaller than the sum of its proper divisors (427172268).

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

210212340 is a wasteful number, since it uses less digits than its factorization.

210212340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20769 (or 20754 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 210212340 is about 14498.7013211529. The cubic root of 210212340 is about 594.5924662648.

Adding to 210212340 its reverse (43212012), we get a palindrome (253424352).

The spelling of 210212340 in words is "two hundred ten million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 20731 41462 62193 82924 103655 124386 207310 248772 269503 310965 414620 539006 621930 808509 1078012 1243860 1347515 1617018 2695030 3234036 3503539 4042545 5390060 7007078 8085090 10510617 14014156 16170180 17517695 21021234 35035390 42042468 52553085 70070780 105106170 210212340