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213007752 = 2333986147
BaseRepresentation
bin11001011001000…
…11110110001000
3112211210220201000
430230203312020
5414012222002
633045255000
75164351566
oct1454436610
9484726630
10213007752
11aa267971
125b404460
133518cbb9
142040aa36
1513a7861c
hexcb23d88

213007752 has 32 divisors (see below), whose sum is σ = 591688800. Its totient is φ = 71002512.

The previous prime is 213007741. The next prime is 213007757. The reversal of 213007752 is 257700312.

213007752 is digitally balanced in base 3, 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 (27).

It is not an unprimeable number, because it can be changed into a prime (213007757) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 492858 + ... + 493289.

It is an arithmetic number, because the mean of its divisors is an integer number (18490275).

Almost surely, 2213007752 is an apocalyptic number.

It is an amenable number.

213007752 is an abundant number, since it is smaller than the sum of its proper divisors (378681048).

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

213007752 is a wasteful number, since it uses less digits than its factorization.

213007752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986162 (or 986152 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 213007752 is about 14594.7850960540. The cubic root of 213007752 is about 597.2165069123.

The spelling of 213007752 in words is "two hundred thirteen million, seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 986147 1972294 2958441 3944588 5916882 7889176 8875323 11833764 17750646 23667528 26625969 35501292 53251938 71002584 106503876 213007752