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17072968 = 23111311481
BaseRepresentation
bin100000100100…
…0001101001000
31012010101201011
41001020031020
513332313333
61405533304
7265055263
oct101101510
935111634
1017072968
1197011a0
125874234
1336ca063
1423a5cda
1517739cd
hex1048348

17072968 has 32 divisors (see below), whose sum is σ = 35212320. Its totient is φ = 7696000.

The previous prime is 17072941. The next prime is 17072977. The reversal of 17072968 is 86927071.

It is a self number, because there is not a number n which added to its sum of digits gives 17072968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10788 + ... + 12268.

It is an arithmetic number, because the mean of its divisors is an integer number (1100385).

Almost surely, 217072968 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 17072968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606160).

17072968 is an abundant number, since it is smaller than the sum of its proper divisors (18139352).

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

17072968 is a wasteful number, since it uses less digits than its factorization.

17072968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 17072968 is about 4131.9448205415. The cubic root of 17072968 is about 257.4955188211.

The spelling of 17072968 in words is "seventeen million, seventy-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 1048 1441 1481 2882 2962 5764 5924 11528 11848 16291 32582 65164 130328 194011 388022 776044 1552088 2134121 4268242 8536484 17072968