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97071680 = 265439691
BaseRepresentation
bin1011100100100…
…11001001000000
320202122202022102
411302103021000
5144322243210
613344325532
72256044546
oct562231100
9222582272
1097071680
114a881432
12286138a8
1317159984
14cc6bd96
1587c6ea5
hex5c93240

97071680 has 56 divisors (see below), whose sum is σ = 232013760. Its totient is φ = 38684160.

The previous prime is 97071659. The next prime is 97071691. The reversal of 97071680 is 8617079.

It is a happy number.

It is a super-2 number, since 2×970716802 = 18845822116044800, which contains 22 as substring.

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, 140135 + ... + 140825.

Almost surely, 297071680 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 97071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116006880).

97071680 is an abundant number, since it is smaller than the sum of its proper divisors (134942080).

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

97071680 is a wasteful number, since it uses less digits than its factorization.

97071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 97071680 is about 9852.4961304230. The cubic root of 97071680 is about 459.5832394156.

The spelling of 97071680 in words is "ninety-seven million, seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 439 691 878 1382 1756 2195 2764 3455 3512 4390 5528 6910 7024 8780 11056 13820 14048 17560 22112 27640 28096 35120 44224 55280 70240 110560 140480 221120 303349 606698 1213396 1516745 2426792 3033490 4853584 6066980 9707168 12133960 19414336 24267920 48535840 97071680