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8690968 = 23111371107
BaseRepresentation
bin100001001001…
…110100011000
3121100112202201
4201021310120
54211102333
6510135544
7133605046
oct41116430
917315681
108690968
1149a6720
122ab15b4
131a53ab0
141223396
15b6a17d
hex849d18

8690968 has 64 divisors (see below), whose sum is σ = 19595520. Its totient is φ = 3561600.

The previous prime is 8690963. The next prime is 8690971.

It is a happy number.

8690968 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8690963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81171 + ... + 81277.

It is an arithmetic number, because the mean of its divisors is an integer number (306180).

Almost surely, 28690968 is an apocalyptic number.

8690968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8690968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797760).

8690968 is an abundant number, since it is smaller than the sum of its proper divisors (10904552).

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

8690968 is a wasteful number, since it uses less digits than its factorization.

8690968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 8690968 is about 2948.0447757794. The cubic root of 8690968 is about 205.5998137745.

The spelling of 8690968 in words is "eight million, six hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 71 88 104 107 142 143 214 284 286 428 568 572 781 856 923 1144 1177 1391 1562 1846 2354 2782 3124 3692 4708 5564 6248 7384 7597 9416 10153 11128 15194 15301 20306 30388 30602 40612 60776 61204 81224 83567 98761 122408 167134 197522 334268 395044 668536 790088 1086371 2172742 4345484 8690968