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213075936 = 2532739847
BaseRepresentation
bin11001011001101…
…00011111100000
3112211221101020100
430230310133200
5414021412221
633050542400
75165054433
oct1454643740
9484841210
10213075936
11aa304117
125b437a00
13351b4c48
142042781a
1513a8d926
hexcb347e0

213075936 has 36 divisors (see below), whose sum is σ = 605935512. Its totient is φ = 71025216.

The previous prime is 213075931. The next prime is 213076009. The reversal of 213075936 is 639570312.

213075936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 213075936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213075931) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 369636 + ... + 370211.

It is an arithmetic number, because the mean of its divisors is an integer number (16831542).

Almost surely, 2213075936 is an apocalyptic number.

It is an amenable number.

213075936 is an abundant number, since it is smaller than the sum of its proper divisors (392859576).

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

213075936 is a wasteful number, since it uses less digits than its factorization.

213075936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739863 (or 739852 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 213075936 is about 14597.1208119958. The cubic root of 213075936 is about 597.2802233198.

The spelling of 213075936 in words is "two hundred thirteen million, seventy-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 739847 1479694 2219541 2959388 4439082 5918776 6658623 8878164 11837552 13317246 17756328 23675104 26634492 35512656 53268984 71025312 106537968 213075936