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213000040 = 23511484091
BaseRepresentation
bin11001011001000…
…01111101101000
3112211210112010101
430230201331220
5414012000130
633045155144
75164320241
oct1454417550
9484715111
10213000040
11aa2620a0
125b3bbab4
1335189536
1420407cc8
1513a761ca
hexcb21f68

213000040 has 32 divisors (see below), whose sum is σ = 522819360. Its totient is φ = 77454400.

The previous prime is 213000023. The next prime is 213000049. The reversal of 213000040 is 40000312.

213000040 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 212999990 and 213000026.

It is not an unprimeable number, because it can be changed into a prime (213000049) 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, 241606 + ... + 242485.

It is an arithmetic number, because the mean of its divisors is an integer number (16338105).

Almost surely, 2213000040 is an apocalyptic number.

213000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213000040 is an abundant number, since it is smaller than the sum of its proper divisors (309819320).

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

213000040 is a wasteful number, since it uses less digits than its factorization.

213000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484113 (or 484109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 213000040 is about 14594.5208897038. The cubic root of 213000040 is about 597.2092993666.

Adding to 213000040 its reverse (40000312), we get a palindrome (253000352).

The spelling of 213000040 in words is "two hundred thirteen million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 484091 968182 1936364 2420455 3872728 4840910 5325001 9681820 10650002 19363640 21300004 26625005 42600008 53250010 106500020 213000040