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67903668 = 22327467577
BaseRepresentation
bin1000000110000…
…10000010110100
311201202212022200
410003002002310
5114340404133
610423224500
71453112610
oct403020264
9151685280
1067903668
113536a038
121a8a8130
13110b65b1
149038340
155e64913
hex40c20b4

67903668 has 72 divisors (see below), whose sum is σ = 196926912. Its totient is φ = 19325952.

The previous prime is 67903607. The next prime is 67903679. The reversal of 67903668 is 86630976.

It is a super-2 number, since 2×679036682 = 9221816255708448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117396 + ... + 117972.

It is an arithmetic number, because the mean of its divisors is an integer number (2735096).

Almost surely, 267903668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67903668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98463456).

67903668 is an abundant number, since it is smaller than the sum of its proper divisors (129023244).

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

67903668 is a wasteful number, since it uses less digits than its factorization.

67903668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 67903668 is about 8240.3681956573. The cubic root of 67903668 is about 407.9726769477.

The spelling of 67903668 in words is "sixty-seven million, nine hundred three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 467 577 934 1154 1401 1731 1868 2308 2802 3269 3462 4039 4203 5193 5604 6538 6924 8078 8406 9807 10386 12117 13076 16156 16812 19614 20772 24234 29421 36351 39228 48468 58842 72702 117684 145404 269459 538918 808377 1077836 1616754 1886213 2425131 3233508 3772426 4850262 5658639 7544852 9700524 11317278 16975917 22634556 33951834 67903668