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1977066 = 2327131771
BaseRepresentation
bin111100010101011101010
310201110000200
413202223222
51001231231
6110213030
722543020
oct7425352
93643020
101977066
111130443
127b4176
13542b80
14396710
15290be6
hex1e2aea

1977066 has 96 divisors (see below), whose sum is σ = 5660928. Its totient is φ = 483840.

The previous prime is 1977023. The next prime is 1977067. The reversal of 1977066 is 6607791.

1977066 is a nontrivial binomial coefficient, being equal to C(1989, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 1977066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27811 + ... + 27881.

It is an arithmetic number, because the mean of its divisors is an integer number (58968).

21977066 is an apocalyptic number.

1977066 is the 1988-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1977066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464).

1977066 is an abundant number, since it is smaller than the sum of its proper divisors (3683862).

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

1977066 is a wasteful number, since it uses less digits than its factorization.

1977066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1977066 is about 1406.0817899397. The cubic root of 1977066 is about 125.5086685758.

Subtracting from 1977066 its product of nonzero digits (15876), we obtain a triangular number (1961190 = T1980).

The spelling of 1977066 in words is "one million, nine hundred seventy-seven thousand, sixty-six".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 71 78 91 102 117 119 126 142 153 182 213 221 234 238 273 306 357 426 442 497 546 639 663 714 819 923 994 1071 1207 1278 1326 1491 1547 1638 1846 1989 2142 2414 2769 2982 3094 3621 3978 4473 4641 5538 6461 7242 8307 8449 8946 9282 10863 12922 13923 15691 16614 16898 19383 21726 25347 27846 31382 38766 47073 50694 58149 76041 94146 109837 116298 141219 152082 219674 282438 329511 659022 988533 1977066