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1663416 = 233417151
BaseRepresentation
bin110010110000110111000
310010111210000
412112012320
5411212131
655353000
720065416
oct6260670
93114700
101663416
11a36827
12682760
13463191
143142b6
1522cce6
hex1961b8

1663416 has 80 divisors (see below), whose sum is σ = 4965840. Its totient is φ = 518400.

The previous prime is 1663397. The next prime is 1663457. The reversal of 1663416 is 6143661.

1663416 is a `hidden beast` number, since 16 + 634 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1663416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10941 + ... + 11091.

It is an arithmetic number, because the mean of its divisors is an integer number (62073).

21663416 is an apocalyptic number.

1663416 is the 816-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1663416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482920).

1663416 is an abundant number, since it is smaller than the sum of its proper divisors (3302424).

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

1663416 is a wasteful number, since it uses less digits than its factorization.

1663416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1663416 is about 1289.7348564724. The cubic root of 1663416 is about 118.4859781518.

The spelling of 1663416 in words is "one million, six hundred sixty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 151 153 162 204 216 302 306 324 408 453 459 604 612 648 906 918 1208 1224 1359 1377 1812 1836 2567 2718 2754 3624 3672 4077 5134 5436 5508 7701 8154 10268 10872 11016 12231 15402 16308 20536 23103 24462 30804 32616 46206 48924 61608 69309 92412 97848 138618 184824 207927 277236 415854 554472 831708 1663416