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1966104 = 233274783
BaseRepresentation
bin111100000000000011000
310200212222200
413200000120
51000403404
6110050200
722466040
oct7400030
93625880
101966104
111123188
127a9960
1353ab9a
14392720
1528c839
hex1e0018

1966104 has 96 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 543168.

The previous prime is 1966079. The next prime is 1966123. The reversal of 1966104 is 4016691.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23647 + ... + 23729.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

21966104 is an apocalyptic number.

1966104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

1966104 is an abundant number, since it is smaller than the sum of its proper divisors (4323816).

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

1966104 is a wasteful number, since it uses less digits than its factorization.

1966104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1966104 is about 1402.1783053521. The cubic root of 1966104 is about 125.2762742637.

The spelling of 1966104 in words is "one million, nine hundred sixty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 83 84 94 126 141 166 168 188 249 252 282 329 332 376 423 498 504 564 581 658 664 747 846 987 996 1128 1162 1316 1494 1692 1743 1974 1992 2324 2632 2961 2988 3384 3486 3901 3948 4648 5229 5922 5976 6972 7802 7896 10458 11703 11844 13944 15604 20916 23406 23688 27307 31208 35109 41832 46812 54614 70218 81921 93624 109228 140436 163842 218456 245763 280872 327684 491526 655368 983052 1966104