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16945056 = 2532173461
BaseRepresentation
bin100000010100…
…0111110100000
31011212220020200
41000220332200
513314220211
61403105200
7264013332
oct100507640
934786220
1016945056
119624087
125812200
133683a7b
142371452
15174ab56
hex1028fa0

16945056 has 72 divisors (see below), whose sum is σ = 51036804. Its totient is φ = 5314560.

The previous prime is 16945021. The next prime is 16945063. The reversal of 16945056 is 65054961.

It can be written as a sum of positive squares in 2 ways, for example, as 16941456 + 3600 = 4116^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 16945056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3166 + ... + 6626.

Almost surely, 216945056 is an apocalyptic number.

16945056 is a gapful number since it is divisible by the number (16) 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 16945056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25518402).

16945056 is an abundant number, since it is smaller than the sum of its proper divisors (34091748).

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

16945056 is a wasteful number, since it uses less digits than its factorization.

16945056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 16945056 is about 4116.4372945546. The cubic root of 16945056 is about 256.8508473571.

The spelling of 16945056 in words is "sixteen million, nine hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 3461 4896 6922 10383 13844 20766 27688 31149 41532 55376 58837 62298 83064 110752 117674 124596 166128 176511 235348 249192 332256 353022 470696 498384 529533 706044 941392 996768 1059066 1412088 1882784 2118132 2824176 4236264 5648352 8472528 16945056