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67992372 = 223673331
BaseRepresentation
bin1000000110101…
…11101100110100
311201221101000000
410003113230310
5114401223442
610425151300
71453632330
oct403275464
9151841000
1067992372
113541a748
121a92b530
1311117a96
14905c7c0
155e80d4c
hex40d7b34

67992372 has 84 divisors (see below), whose sum is σ = 203945056. Its totient is φ = 19420560.

The previous prime is 67992359. The next prime is 67992403. The reversal of 67992372 is 27329976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 18747 + ... + 22077.

Almost surely, 267992372 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 67992372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101972528).

67992372 is an abundant number, since it is smaller than the sum of its proper divisors (135952684).

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

67992372 is a wasteful number, since it uses less digits than its factorization.

67992372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3343 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 67992372 is about 8245.7487228268. The cubic root of 67992372 is about 408.1502474322.

The spelling of 67992372 in words is "sixty-seven million, nine hundred ninety-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3331 3402 5103 6662 6804 9993 10206 13324 19986 20412 23317 29979 39972 46634 59958 69951 89937 93268 119916 139902 179874 209853 269811 279804 359748 419706 539622 629559 809433 839412 1079244 1259118 1618866 1888677 2428299 2518236 3237732 3777354 4856598 5666031 7554708 9713196 11332062 16998093 22664124 33996186 67992372