Search a number
-
+
97060960 = 2551793389
BaseRepresentation
bin1011100100100…
…00100001100000
320202122012121101
411302100201200
5144321422320
613344204144
72256001363
oct562204140
9222565541
1097060960
114a874377
1228609654
1317154b29
14cc680da
1587c3c0a
hex5c90860

97060960 has 48 divisors (see below), whose sum is σ = 230655600. Its totient is φ = 38596096.

The previous prime is 97060937. The next prime is 97060979. The reversal of 97060960 is 6906079.

It is a super-2 number, since 2×970609602 = 18841659912243200, 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 7 ways as a sum of consecutive naturals, for example, 26946 + ... + 30334.

It is an arithmetic number, because the mean of its divisors is an integer number (4805325).

Almost surely, 297060960 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 97060960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115327800).

97060960 is an abundant number, since it is smaller than the sum of its proper divisors (133594640).

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

97060960 is a wasteful number, since it uses less digits than its factorization.

97060960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 97060960 is about 9851.9520908295. The cubic root of 97060960 is about 459.5663209429.

The spelling of 97060960 in words is "ninety-seven million, sixty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 179 358 716 895 1432 1790 2864 3389 3580 5728 6778 7160 13556 14320 16945 27112 28640 33890 54224 67780 108448 135560 271120 542240 606631 1213262 2426524 3033155 4853048 6066310 9706096 12132620 19412192 24265240 48530480 97060960