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66982580 = 22573767193
BaseRepresentation
bin1111111110000…
…1001010110100
311200001001211022
43333201022310
5114121420310
610351400312
71442225330
oct377411264
9150031738
1066982580
11348a0005
121a523098
1310b53282
148c787c0
155d31a55
hex3fe12b4

66982580 has 96 divisors (see below), whose sum is σ = 168435456. Its totient is φ = 21897216.

The previous prime is 66982549. The next prime is 66982589. The reversal of 66982580 is 8528966.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66982589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346964 + ... + 347156.

It is an arithmetic number, because the mean of its divisors is an integer number (1754536).

Almost surely, 266982580 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 66982580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84217728).

66982580 is an abundant number, since it is smaller than the sum of its proper divisors (101452876).

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

66982580 is a wasteful number, since it uses less digits than its factorization.

66982580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 66982580 is about 8184.2886068369. The cubic root of 66982580 is about 406.1196069099.

The spelling of 66982580 in words is "sixty-six million, nine hundred eighty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 67 70 74 134 140 148 185 193 259 268 335 370 386 469 518 670 740 772 938 965 1036 1295 1340 1351 1876 1930 2345 2479 2590 2702 3860 4690 4958 5180 5404 6755 7141 9380 9916 12395 12931 13510 14282 17353 24790 25862 27020 28564 34706 35705 49580 49987 51724 64655 69412 71410 86765 90517 99974 129310 142820 173530 181034 199948 249935 258620 347060 362068 452585 478447 499870 905170 956894 999740 1810340 1913788 2392235 3349129 4784470 6698258 9568940 13396516 16745645 33491290 66982580