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213315740 = 225112181487
BaseRepresentation
bin11001011011011…
…11000010011100
3112212101120011222
430231233002130
5414102100430
633100032512
75200103531
oct1455570234
9485346158
10213315740
11aa458300
125b532738
133526a141
142048ad88
1513ad99e5
hexcb6f09c

213315740 has 72 divisors (see below), whose sum is σ = 496126176. Its totient is φ = 76982400.

The previous prime is 213315691. The next prime is 213315749. The reversal of 213315740 is 47513312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213315749) 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, 437777 + ... + 438263.

Almost surely, 2213315740 is an apocalyptic number.

213315740 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 213315740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248063088).

213315740 is an abundant number, since it is smaller than the sum of its proper divisors (282810436).

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

213315740 is a wasteful number, since it uses less digits than its factorization.

213315740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 213315740 is about 14605.3325877914. The cubic root of 213315740 is about 597.5042068295.

The spelling of 213315740 in words is "two hundred thirteen million, three hundred fifteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 181 220 242 362 484 487 605 724 905 974 1210 1810 1948 1991 2420 2435 3620 3982 4870 5357 7964 9740 9955 10714 19910 21428 21901 26785 39820 43802 53570 58927 87604 88147 107140 109505 117854 176294 219010 235708 294635 352588 438020 440735 589270 881470 969617 1178540 1762940 1939234 3878468 4848085 9696170 10665787 19392340 21331574 42663148 53328935 106657870 213315740