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213289740 = 22335394981
BaseRepresentation
bin11001011011010…
…00101100001100
3112212100020112000
430231220230030
5414100232430
633055312300
75166634656
oct1455505414
9485306460
10213289740
11aa43a814
125b51b690
133525b361
14204816d6
1513ad1e60
hexcb68b0c

213289740 has 48 divisors (see below), whose sum is σ = 663569760. Its totient is φ = 56877120.

The previous prime is 213289717. The next prime is 213289759. The reversal of 213289740 is 47982312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213289695 and 213289704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196951 + ... + 198030.

It is an arithmetic number, because the mean of its divisors is an integer number (13824370).

Almost surely, 2213289740 is an apocalyptic number.

213289740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213289740 is an abundant number, since it is smaller than the sum of its proper divisors (450280020).

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

213289740 is a wasteful number, since it uses less digits than its factorization.

213289740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394999 (or 394991 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 213289740 is about 14604.4424748088. The cubic root of 213289740 is about 597.4799302328.

The spelling of 213289740 in words is "two hundred thirteen million, two hundred eighty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 394981 789962 1184943 1579924 1974905 2369886 3554829 3949810 4739772 5924715 7109658 7899620 10664487 11849430 14219316 17774145 21328974 23698860 35548290 42657948 53322435 71096580 106644870 213289740