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16961472 = 2632112677
BaseRepresentation
bin100000010110…
…0111111000000
31011220201202200
41000230333000
513320231342
61403313200
7264112233
oct100547700
934821680
1016961472
119635450
12581b800
13368b398
14237741a
15175094c
hex102cfc0

16961472 has 84 divisors (see below), whose sum is σ = 53056536. Its totient is φ = 5137920.

The previous prime is 16961467. The next prime is 16961473. The reversal of 16961472 is 27416961.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (16961473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4998 + ... + 7674.

Almost surely, 216961472 is an apocalyptic number.

16961472 is a gapful number since it is divisible by the number (12) 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 16961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26528268).

16961472 is an abundant number, since it is smaller than the sum of its proper divisors (36095064).

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

16961472 is a wasteful number, since it uses less digits than its factorization.

16961472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2693 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 16961472 is about 4118.4307691158. The cubic root of 16961472 is about 256.9337644163.

The spelling of 16961472 in words is "sixteen million, nine hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 2677 3168 5354 6336 8031 10708 16062 21416 24093 29447 32124 42832 48186 58894 64248 85664 88341 96372 117788 128496 171328 176682 192744 235576 256992 265023 353364 385488 471152 513984 530046 706728 770976 942304 1060092 1413456 1541952 1884608 2120184 2826912 4240368 5653824 8480736 16961472