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973417980 = 2235311035081
BaseRepresentation
bin111010000001010…
…010110111111100
32111211122202102210
4322001102313330
53443143333410
6240331420420
733056626203
oct7201226774
92454582383
10973417980
1145a518377
12231bb4710
13126890b92
14933cc23a
155a6d0220
hex3a052dfc

973417980 has 96 divisors (see below), whose sum is σ = 2841366528. Its totient is φ = 248716800.

The previous prime is 973417957. The next prime is 973417993. The reversal of 973417980 is 89714379.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189040 + ... + 194120.

It is an arithmetic number, because the mean of its divisors is an integer number (29597568).

Almost surely, 2973417980 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 973417980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420683264).

973417980 is an abundant number, since it is smaller than the sum of its proper divisors (1867948548).

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

973417980 is a wasteful number, since it uses less digits than its factorization.

973417980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5227 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 973417980 is about 31199.6471133890. The cubic root of 973417980 is about 991.0596347372.

The spelling of 973417980 in words is "nine hundred seventy-three million, four hundred seventeen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 103 124 155 186 206 309 310 372 412 465 515 618 620 930 1030 1236 1545 1860 2060 3090 3193 5081 6180 6386 9579 10162 12772 15243 15965 19158 20324 25405 30486 31930 38316 47895 50810 60972 63860 76215 95790 101620 152430 157511 191580 304860 315022 472533 523343 630044 787555 945066 1046686 1570029 1575110 1890132 2093372 2362665 2616715 3140058 3150220 4725330 5233430 6280116 7850145 9450660 10466860 15700290 16223633 31400580 32447266 48670899 64894532 81118165 97341798 162236330 194683596 243354495 324472660 486708990 973417980