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213160340 = 22531893863
BaseRepresentation
bin11001011010010…
…01000110010100
3112212002200000102
430231021012110
5414032112330
633052433232
75165555501
oct1455110624
9485080012
10213160340
11aa361578
125b478818
13352144a3
142044a4a8
1513aa8945
hexcb49194

213160340 has 48 divisors (see below), whose sum is σ = 467389440. Its totient is φ = 81565440.

The previous prime is 213160319. The next prime is 213160349. The reversal of 213160340 is 43061312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213160349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53249 + ... + 57111.

It is an arithmetic number, because the mean of its divisors is an integer number (9737280).

Almost surely, 2213160340 is an apocalyptic number.

213160340 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 213160340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233694720).

213160340 is an abundant number, since it is smaller than the sum of its proper divisors (254229100).

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

213160340 is a wasteful number, since it uses less digits than its factorization.

213160340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 213160340 is about 14600.0116438310. The cubic root of 213160340 is about 597.3590781259.

The spelling of 213160340 in words is "two hundred thirteen million, one hundred sixty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 89 124 155 178 310 356 445 620 890 1780 2759 3863 5518 7726 11036 13795 15452 19315 27590 38630 55180 77260 119753 239506 343807 479012 598765 687614 1197530 1375228 1719035 2395060 3438070 6876140 10658017 21316034 42632068 53290085 106580170 213160340