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213672042 = 23218476427
BaseRepresentation
bin11001011110001…
…10000001101010
3112220001122221100
430233012001222
5414200001132
633111422230
75203116363
oct1457060152
9486048840
10213672042
11aa680a71
125b684976
133536337c
1420540b6a
1513b5a37c
hexcbc606a

213672042 has 24 divisors (see below), whose sum is σ = 463278816. Its totient is φ = 71174376.

The previous prime is 213672023. The next prime is 213672059. The reversal of 213672042 is 240276312.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 213671997 and 213672015.

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 11 ways as a sum of consecutive naturals, for example, 30033 + ... + 36459.

It is an arithmetic number, because the mean of its divisors is an integer number (19303284).

Almost surely, 2213672042 is an apocalyptic number.

213672042 is an abundant number, since it is smaller than the sum of its proper divisors (249606774).

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

213672042 is a wasteful number, since it uses less digits than its factorization.

213672042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8279 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 213672042 is about 14617.5251667305. The cubic root of 213672042 is about 597.8366928780.

It can be divided in two parts, 21367 and 2042, that added together give a square (23409 = 1532).

The spelling of 213672042 in words is "two hundred thirteen million, six hundred seventy-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 1847 3694 5541 6427 11082 12854 16623 19281 33246 38562 57843 115686 11870669 23741338 35612007 71224014 106836021 213672042