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213969504 = 2537318407
BaseRepresentation
bin11001100000011…
…10101001100000
3112220121202222110
430300032221200
5414234011004
633122035320
75205465540
oct1460165140
9486552873
10213969504
11aa864501
125b7a8b40
1335438898
14205bb320
1513bb8589
hexcc0ea60

213969504 has 48 divisors (see below), whose sum is σ = 641910528. Its totient is φ = 61133952.

The previous prime is 213969493. The next prime is 213969527. The reversal of 213969504 is 405969312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158532 + ... + 159875.

It is an arithmetic number, because the mean of its divisors is an integer number (13373136).

Almost surely, 2213969504 is an apocalyptic number.

213969504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213969504 is an abundant number, since it is smaller than the sum of its proper divisors (427941024).

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

213969504 is a wasteful number, since it uses less digits than its factorization.

213969504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318427 (or 318419 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 213969504 is about 14627.6964693693. The cubic root of 213969504 is about 598.1139889265.

The spelling of 213969504 in words is "two hundred thirteen million, nine hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 318407 636814 955221 1273628 1910442 2228849 2547256 3820884 4457698 5094512 6686547 7641768 8915396 10189024 13373094 15283536 17830792 26746188 30567072 35661584 53492376 71323168 106984752 213969504