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96471680 = 275307491
BaseRepresentation
bin1011100000000…
…00101010000000
320201112021021012
411300000222000
5144144043210
613323420052
72250665354
oct560005200
9221467235
1096471680
114a501668
1228384628
1316ca9846
14cb53464
158709305
hex5c00a80

96471680 has 64 divisors (see below), whose sum is σ = 231850080. Its totient is φ = 38384640.

The previous prime is 96471679. The next prime is 96471707. The reversal of 96471680 is 8617469.

It is a tau number, because it is divible by the number of its divisors (64).

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, 196235 + ... + 196725.

Almost surely, 296471680 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 96471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115925040).

96471680 is an abundant number, since it is smaller than the sum of its proper divisors (135378400).

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

96471680 is a wasteful number, since it uses less digits than its factorization.

96471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 96471680 is about 9821.9997963755. Note that the first 3 decimals coincide. The cubic root of 96471680 is about 458.6343871881.

The spelling of 96471680 in words is "ninety-six million, four hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 307 320 491 614 640 982 1228 1535 1964 2455 2456 3070 3928 4910 4912 6140 7856 9820 9824 12280 15712 19640 19648 24560 31424 39280 39296 49120 62848 78560 98240 150737 157120 196480 301474 314240 602948 753685 1205896 1507370 2411792 3014740 4823584 6029480 9647168 12058960 19294336 24117920 48235840 96471680