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97966680 = 23357216661
BaseRepresentation
bin1011101011011…
…01101001011000
320211100020000120
411311231221120
5200034413210
613415433240
72266463100
oct565555130
9224306016
1097966680
11503328a9
1228985820
13173b1166
14d022200
158902270
hex5d6da58

97966680 has 96 divisors (see below), whose sum is σ = 341904240. Its totient is φ = 22391040.

The previous prime is 97966579. The next prime is 97966691. The reversal of 97966680 is 8666979.

It is a happy number.

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, 2451 + ... + 14210.

Almost surely, 297966680 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 97966680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170952120).

97966680 is an abundant number, since it is smaller than the sum of its proper divisors (243937560).

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

97966680 is a wasteful number, since it uses less digits than its factorization.

97966680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16689 (or 16678 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 97966680 is about 9897.8118794004. The cubic root of 97966680 is about 460.9913716716.

The spelling of 97966680 in words is "ninety-seven million, nine hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 16661 33322 49983 66644 83305 99966 116627 133288 166610 199932 233254 249915 333220 349881 399864 466508 499830 583135 666440 699762 816389 933016 999660 1166270 1399524 1632778 1749405 1999320 2332540 2449167 2799048 3265556 3498810 4081945 4665080 4898334 6531112 6997620 8163890 9796668 12245835 13995240 16327780 19593336 24491670 32655560 48983340 97966680